Error 53

Error 53 is a hardware failure associated with the Touch ID. It comes up every time if you have an unauthorized 3rd party replace the screen and/or home button. As your warranty is now void and Apple won't even do an out-of-warranty repair, your only option is to take it back to whoever worked on it and keep your fingers crossed.

The real story, besides what Philly_Phan has told you, is that there are 2 or 3 very long threads addressing Error 53. Please read them rather than starting another, please.

If you see an error 53 message in iTunes and “Connect to iTunes” on your iOS device, use the steps in this article to restore and recover your device using iOS 9.2.1 and iTunes on your Mac or PC.

If you see error 53 and your iPhone or iPad gets stuck on the 'Connect to iTunes' screen - Apple Support