31978380625 has 45 divisors (see below), whose sum is σ = 41907873469. Its totient is φ = 24391730000.

The previous prime is 31978380613. The next prime is 31978380631. The reversal of 31978380625 is 52608387913.

The square root of 31978380625 is 178825.

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 2507105041 + 29471275584 = 50071^2 + 171672^2 .

It is not a de Polignac number, because 31978380625 - 2⁵ = 31978380593 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 44 ways as a sum of consecutive naturals, for example, 102824220 + ... + 102824530.

Almost surely, 2^31978380625 is an apocalyptic number.

31978380625 is the 178825-th square number.

31978380625 is the 89413-rd centered octagonal number.

It is an amenable number.

31978380625 is a deficient number, since it is larger than the sum of its proper divisors (9929492844).

31978380625 is an frugal number, since it uses more digits than its factorization.

31978380625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 31978380625 in words is "thirty-one billion, nine hundred seventy-eight million, three hundred eighty thousand, six hundred twenty-five".