A word for a favor/debt that cannot be repaid

I just feel like unrepayable isn't actually a word. Thesauri are not being helpful.

Consider a case in which someone saves your child's life. There is nothing you can ever do to pay them back for this favor.

What they have done for you is [word I'm looking for].


What they have done for you is unrequitable

from v. requite: to make repayment or return for service, benefits, etc.

It can be found in sonnets and poems in the context of love and also of favours


I think there is a more common expression which might express the deep gratitude one feels towards another person, a person who has saved your child's life. I would say to that man or woman

Thank you—I am forever indebted to you.

Typical collocations with indebted are:

  • deeply, greatly, much, profoundly
  • eternally, forever

"There is nothing that I can pay you for your deed. What you have done is priceless."

I can't think of anything else, but maybe this will get some ideas started for you.