10256625625 has 15 divisors (see below), whose sum is σ = 12819843993. Its totient is φ = 8203275000.

The previous prime is 10256625601. The next prime is 10256625679. The reversal of 10256625625 is 52652665201.

The square root of 10256625625 is 101275.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 804119449 + 9452506176 = 28357^2 + 97224^2 .

It is not a de Polignac number, because 10256625625 - 2¹⁹ = 10256101337 is a prime.

It is a super-2 number, since 2×10256625625² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2529850 + ... + 2533900.

Almost surely, 2^10256625625 is an apocalyptic number.

10256625625 is the 101275-th square number.

10256625625 is the 50638-th centered octagonal number.

It is an amenable number.

10256625625 is a deficient number, since it is larger than the sum of its proper divisors (2563218368).

10256625625 is an frugal number, since it uses more digits than its factorization.

10256625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8122 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 10256625625 in words is "ten billion, two hundred fifty-six million, six hundred twenty-five thousand, six hundred twenty-five".