312813261 has 48 divisors (see below), whose sum is σ = 478887552. Its totient is φ = 196560000.

The previous prime is 312813253. The next prime is 312813269. The reversal of 312813261 is 162318213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312813253) and next prime (312813269).

It is not a de Polignac number, because 312813261 - 2³ = 312813253 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312813269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2071536 + ... + 2071686.

It is an arithmetic number, because the mean of its divisors is an integer number (9976824).

Almost surely, 2^312813261 is an apocalyptic number.

It is an amenable number.

312813261 is a deficient number, since it is larger than the sum of its proper divisors (166074291).

312813261 is a wasteful number, since it uses less digits than its factorization.

312813261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 351 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 312813261 is about 17686.5276693872. The cubic root of 312813261 is about 678.8310807366.

The spelling of 312813261 in words is "three hundred twelve million, eight hundred thirteen thousand, two hundred sixty-one".