31607506225 has 45 divisors (see below), whose sum is σ = 41623921185. Its totient is φ = 23808967200.

The previous prime is 31607506219. The next prime is 31607506247. The reversal of 31607506225 is 52260570613.

The square root of 31607506225 is 177785.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3000519729 + 28606986496 = 54777^2 + 169136^2 .

It is not a de Polignac number, because 31607506225 - 2⁷ = 31607506097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 44 ways as a sum of consecutive naturals, for example, 854256907 + ... + 854256943.

Almost surely, 2^31607506225 is an apocalyptic number.

31607506225 is the 177785-th square number.

31607506225 is the 88893-rd centered octagonal number.

It is an amenable number.

31607506225 is a deficient number, since it is larger than the sum of its proper divisors (10016414960).

31607506225 is an frugal number, since it uses more digits than its factorization.

31607506225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 31607506225 in words is "thirty-one billion, six hundred seven million, five hundred six thousand, two hundred twenty-five".