31312364209 has 27 divisors (see below), whose sum is σ = 38719284843. Its totient is φ = 25243407168.

The previous prime is 31312364203. The next prime is 31312364219. The reversal of 31312364209 is 90246321313.

The square root of 31312364209 is 176953.

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., 24378138225 + 6934225984 = 156135^2 + 83272^2 .

It is not a de Polignac number, because 31312364209 - 2¹¹ = 31312362161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31312364203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21056664 + ... + 21058150.

Almost surely, 2^31312364209 is an apocalyptic number.

31312364209 is the 176953-rd square number.

31312364209 is the 88477-th centered octagonal number.

It is an amenable number.

31312364209 is a deficient number, since it is larger than the sum of its proper divisors (7406920634).

31312364209 is an frugal number, since it uses more digits than its factorization.

31312364209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 31312364209 in words is "thirty-one billion, three hundred twelve million, three hundred sixty-four thousand, two hundred nine".