Over heating on charge and it is no longer showing anything on the screen

My iPhone 5 is over heating on charge and it is no longer showing anything on the screen. I was using it when the screen went white and it hasn't worked since. I have tried to both restart it and to restore it. as the screen doesn't not work it is hard to tell the condition of the phone. However it occasionally makes the lock noise when pushing the lock button and also occasionally vibrates when operating the side switch. I can not leave it plugged in on charge as it gets very hot and it is no longer recognised in iTunes unless i put it in recovery mode.
Has anyone else has this problem or can recommend a solution. I bought it second hard a while ago so it is not under any warranty.
Thank you

Sounds like the battery has become unstable
Take it to an Apple store Genius bar for evaluation Suggest you do not attempt to charge any more
at worse Apple may offer an Out of Warranty exchange device identical to donor
In UK  price over the counter is £209

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