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The phone is 2.5 years old and the phone gets hot too quick and the battery drains. The phone heats on the right side(where the sim tray is). Is this an indicator of a problem with the battery or is there some other problem. Please help!

@aryan6675 if you have had no other damage to the phone, I’d start with a new battery. Here is the guide for that How to replace the battery in your iPhone 5s and you can get a new battery from here iPhone 5s Battery

I advise you to let your battery waste then plug it in and leave it till its charged have you tried resetting