Answer:
The next number is 13.
This sequence consists of numbers which are sum of digits of 2^n.
For example: when n= 1, 2^n is 2 which is the first number of sequence.
When n=6, 2^6=64. So,6+4=10 which is sixth number of sequence.
So, when n=8, 2^8=256,So, 2+5+6=13 which will be the eighth number of sequence.
Hope this helps :)
Explanation: