10626517225 has 27 divisors (see below), whose sum is σ = 13464806383. Its totient is φ = 8319371840.

The previous prime is 10626517207. The next prime is 10626517303. The reversal of 10626517225 is 52271562601.

The square root of 10626517225 is 103085.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7295380569 + 3331136656 = 85413^2 + 57716^2 .

It is not a de Polignac number, because 10626517225 - 2⁹ = 10626516713 is a prime.

It is a super-2 number, since 2×10626517225² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27317331 + ... + 27317719.

Almost surely, 2^10626517225 is an apocalyptic number.

10626517225 is the 103085-th square number.

10626517225 is the 51543-rd centered octagonal number.

It is an amenable number.

10626517225 is a deficient number, since it is larger than the sum of its proper divisors (2838289158).

10626517225 is an frugal number, since it uses more digits than its factorization.

10626517225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 10626517225 in words is "ten billion, six hundred twenty-six million, five hundred seventeen thousand, two hundred twenty-five".