What does « Call / Prayer / Invocation » mean in the Quran?

And when My servants ask you, [O Muhammad], concerning Me - indeed I am near. I respond to the invocation of the supplicant when he calls upon Me. So let them respond to Me [by obedience] and believe in Me that they may be [rightly] guided.

And do not marry polytheistic women until they believe. And a believing slave woman is better than a polytheist, even though she might please you. And do not marry polytheistic men [to your women] until they believe. And a believing slave is better than a polytheist, even though he might please you. Those invite [you] to the Fire, but Allah invites to Paradise and to forgiveness, by His permission. And He makes clear His verses to the people that perhaps they may remember.

And [mention] when Abraham said, "My Lord, show me how You give life to the dead." [Allah] said, "Have you not believed?" He said, "Yes, but [I ask] only that my heart may be satisfied." [Allah] said, "Take four birds and commit them to yourself. Then [after slaughtering them] put on each hill a portion of them; then call them - they will come [flying] to you in haste. And know that Allah is Exalted in Might and Wise."

O you who have believed, when you contract a debt for a specified term, write it down. And let a scribe write [it] between you in justice. Let no scribe refuse to write as Allah has taught him. So let him write and let the one who has the obligation dictate. And let him fear Allah, his Lord, and not leave anything out of it. But if the one who has the obligation is of limited understanding or weak or unable to dictate himself, then let his guardian dictate in justice. And bring to witness two witnesses from among your men. And if there are not two men [available], then a man and two women from those whom you accept as witnesses - so that if one of the women errs, then the other can remind her. And let not the witnesses refuse when they are called upon. And do not be [too] weary to write it, whether it is small or large, for its [specified] term. That is more just in the sight of Allah and stronger as evidence and more likely to prevent doubt between you, except when it is an immediate transaction which you conduct among yourselves. For [then] there is no blame upon you if you do not write it. And take witnesses when you conclude a contract. Let no scribe be harmed or any witness. For if you do so, indeed, it is [grave] disobedience in you. And fear Allah. And Allah teaches you. And Allah is Knowing of all things.

Do you not consider, [O Muhammad], those who were given a portion of the Scripture? They are invited to the Scripture of Allah that it should arbitrate between them; then a party of them turns away, and they are refusing.

At that, Zechariah called upon his Lord, saying, "My Lord, grant me from Yourself a good offspring. Indeed, You are the Hearer of supplication."

Then whoever argues with you about it after [this] knowledge has come to you - say, "Come, let us call our sons and your sons, our women and your women, ourselves and yourselves, then supplicate earnestly [together] and invoke the curse of Allah upon the liars [among us]."

And let there be [arising] from you a nation inviting to [all that is] good, enjoining what is right and forbidding what is wrong, and those will be the successful.

[Remember] when you [fled and] climbed [the mountain] without looking aside at anyone while the Messenger was calling you from behind. So Allah repaid you with distress upon distress so you would not grieve for that which had escaped you [of victory and spoils of war] or [for] that which had befallen you [of injury and death]. And Allah is [fully] Acquainted with what you do.

They call upon instead of Him none but female [deities], and they [actually] call upon none but a rebellious Satan.

Say, "Have you considered: if there came to you the punishment of Allah or there came to you the Hour - is it other than Allah you would invoke, if you should be truthful?"

No, it is Him [alone] you would invoke, and He would remove that for which you invoked Him if He willed, and you would forget what you associate [with Him].

And do not send away those who call upon their Lord morning and afternoon, seeking His countenance. Not upon you is anything of their account and not upon them is anything of your account. So were you to send them away, you would [then] be of the wrongdoers.

Say, "Indeed, I have been forbidden to worship those you invoke besides Allah." Say, "I will not follow your desires, for I would then have gone astray, and I would not be of the [rightly] guided."

Say, "Who rescues you from the darknesses of the land and sea [when] you call upon Him imploring [aloud] and privately, 'If He should save us from this [crisis], we will surely be among the thankful.' "

Say, "Shall we invoke instead of Allah that which neither benefits us nor harms us and be turned back on our heels after Allah has guided us? [We would then be] like one whom the devils enticed [to wander] upon the earth confused, [while] he has companions inviting him to guidance, [calling], 'Come to us.' " Say, "Indeed, the guidance of Allah is the [only] guidance; and we have been commanded to submit to the Lord of the worlds.

And do not insult those they invoke other than Allah, lest they insult Allah in enmity without knowledge. Thus We have made pleasing to every community their deeds. Then to their Lord is their return, and He will inform them about what they used to do.

Say, [O Muhammad], "My Lord has ordered justice and that you maintain yourselves [in worship of Him] at every place [or time] of prostration, and invoke Him, sincere to Him in religion." Just as He originated you, you will return [to life] -

And who is more unjust than one who invents about Allah a lie or denies His verses? Those will attain their portion of the decree until when Our messengers come to them to take them in death, they will say, "Where are those you used to invoke besides Allah?" They will say, "They have departed from us," and will bear witness against themselves that they were disbelievers.

Call upon your Lord in humility and privately; indeed, He does not like transgressors.

And cause not corruption upon the earth after its reformation. And invoke Him in fear and aspiration. Indeed, the mercy of Allah is near to the doers of good.

And when the punishment descended upon them, they said, "O Moses, invoke for us your Lord by what He has promised you. If you [can] remove the punishment from us, we will surely believe you, and we will send with you the Children of Israel."

And to Allah belong the best names, so invoke Him by them. And leave [the company of] those who practice deviation concerning His names. They will be recompensed for what they have been doing.

It is He who created you from one soul and created from it its mate that he might dwell in security with her. And when he covers her, she carries a light burden and continues therein. And when it becomes heavy, they both invoke Allah, their Lord, "If You should give us a good [child], we will surely be among the grateful."

And if you [believers] invite them to guidance, they will not follow you. It is all the same for you whether you invite them or you are silent.