10200317825 has 24 divisors (see below), whose sum is σ = 12869827320. Its totient is φ = 8017689600.

The previous prime is 10200317791. The next prime is 10200317843. The reversal of 10200317825 is 52871300201.

It can be written as a sum of positive squares in 12 ways, for example, as 2437298161 + 7763019664 = 49369^2 + 88108^2 .

It is not a de Polignac number, because 10200317825 - 2¹⁶ = 10200252289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1627097 + ... + 1633353.

It is an arithmetic number, because the mean of its divisors is an integer number (536242805).

Almost surely, 2^10200317825 is an apocalyptic number.

It is an amenable number.

10200317825 is a deficient number, since it is larger than the sum of its proper divisors (2669509495).

10200317825 is a wasteful number, since it uses less digits than its factorization.

10200317825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 10200317825 in words is "ten billion, two hundred million, three hundred seventeen thousand, eight hundred twenty-five".