31961440368025 has 27 divisors (see below), whose sum is σ = 46103032465119. Its totient is φ = 21916280569680.

The previous prime is 31961440367999. The next prime is 31961440368043. The reversal of 31961440368025 is 52086304416913.

The square root of 31961440368025 is 5653445.

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

It can be written as a sum of positive squares in only one way, i.e., 11506118532489 + 20455321835536 = 3392067^2 + 4522756^2 .

It is not a de Polignac number, because 31961440368025 - 2²³ = 31961431979417 is a prime.

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, 197789812 + ... + 197951338.

Almost surely, 2^{31961440368025} is an apocalyptic number.

31961440368025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31961440368025 is the 5653445-th square number.

31961440368025 is the 2826723-rd centered octagonal number.

It is an amenable number.

31961440368025 is a deficient number, since it is larger than the sum of its proper divisors (14141592097094).

31961440368025 is an frugal number, since it uses more digits than its factorization.

31961440368025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323078 (or 161539 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 31961440368025 in words is "thirty-one trillion, nine hundred sixty-one billion, four hundred forty million, three hundred sixty-eight thousand, twenty-five".