31965963284025 has 45 divisors (see below), whose sum is σ = 59212485247773. Its totient is φ = 17048378059200.

The previous prime is 31965963283999. The next prime is 31965963284113. The reversal of 31965963284025 is 52048236956913.

It is a happy number.

The square root of 31965963284025 is 5653845.

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

31965963284025 is a `hidden beast` number, since 3 + 1 + 9 + 6 + 596 + 32 + 8 + 4 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7934829835689 + 24031133448336 = 2816883^2 + 4902156^2 .

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

It is not a de Polignac number, because 31965963284025 - 2¹³ = 31965963275833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 254360205 + ... + 254485845.

Almost surely, 2^{31965963284025} is an apocalyptic number.

31965963284025 is the 5653845-th square number.

31965963284025 is the 2826923-rd centered octagonal number.

It is an amenable number.

31965963284025 is a deficient number, since it is larger than the sum of its proper divisors (27246521963748).

31965963284025 is an frugal number, since it uses more digits than its factorization.

31965963284025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251304 (or 125649 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 31965963284025 in words is "thirty-one trillion, nine hundred sixty-five billion, nine hundred sixty-three million, two hundred eighty-four thousand, twenty-five".