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That's normal if you are recording on 4K or playing games, the phone won't overheat, if it gets too hot then the phone will turn off
Are you auto backing up with google plus, or do you have wifi on while charging or playing games?
You can try pressing the yellow botton next to the sim and plug it into charging for 2-3 hour's. Then turns it on and disable all functions. You cannot also lower screen brightness as the screen needs the most power. Leave it for few hours and then start using it and check. Alsou don't turn on the script brightness to maximum