android electrum updates automatically. you don't download android electrum from electrum.org. instead you install it using the playstore.
I also use Electrum on android, and it does not update automatically on my device, maybe it is due to different settings on our devices, i update my Electrum manually on my android device when there is a new update. I also download Electrum from the official website on android, what do you mean by you 'instead install it using the playstore'?