Ref. No. 1129 Alif
In the name of Allah the most Gracious the most Merciful
The answer to your question is as follows:
For reciting, listening and memorizing the Holy Quran, it is allowed to download it and keep it in a mobile which is free from songs etc. please note that when the verses of the Quran appear on the screen you must not touch it without wuzu (taharah). The Holy Quran must be fully respected.
And Allah knows best
Darul Uloom Waqf Deoband