31090505625 has 45 divisors (see below), whose sum is σ = 56141551609. Its totient is φ = 16574550000.

The previous prime is 31090505617. The next prime is 31090505627. The reversal of 31090505625 is 52650509013.

The square root of 31090505625 is 176325.

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

31090505625 is a `hidden beast` number, since 3 + 1 + 0 + 90 + 5 + 0 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2437495641 + 28653009984 = 49371^2 + 169272^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 31090505625 - 2³ = 31090505617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31090505625.

It is not an unprimeable number, because it can be changed into a prime (31090505627) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13223200 + ... + 13225550.

Almost surely, 2^31090505625 is an apocalyptic number.

31090505625 is the 176325-th square number.

31090505625 is the 88163-rd centered octagonal number.

It is an amenable number.

31090505625 is a deficient number, since it is larger than the sum of its proper divisors (25051045984).

31090505625 is an frugal number, since it uses more digits than its factorization.

31090505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Multiplying 31090505625 by its sum of digits (36), we get a square (1119258202500 = 1057950²).

The spelling of 31090505625 in words is "thirty-one billion, ninety million, five hundred five thousand, six hundred twenty-five".