10810800625 has 15 divisors (see below), whose sum is σ = 13512425421. Its totient is φ = 8646561000.

The previous prime is 10810800617. The next prime is 10810800659. The reversal of 10810800625 is 52600801801.

The square root of 10810800625 is 103975.

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 847566769 + 9963233856 = 29113^2 + 99816^2 .

It is not a de Polignac number, because 10810800625 - 2³ = 10810800617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2597296 + ... + 2601454.

Almost surely, 2^10810800625 is an apocalyptic number.

10810800625 is the 103975-th square number.

10810800625 is the 51988-th centered octagonal number.

It is an amenable number.

10810800625 is a deficient number, since it is larger than the sum of its proper divisors (2701624796).

10810800625 is an frugal number, since it uses more digits than its factorization.

10810800625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The spelling of 10810800625 in words is "ten billion, eight hundred ten million, eight hundred thousand, six hundred twenty-five".