312153813 has 36 divisors (see below), whose sum is σ = 490286368. Its totient is φ = 191237760.

The previous prime is 312153797. The next prime is 312153841. The reversal of 312153813 is 318351213.

312153813 is a `hidden beast` number, since 3 + 121 + 538 + 1 + 3 = 666.

It is not a de Polignac number, because 312153813 - 2⁴ = 312153797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312153113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110448 + ... + 113238.

Almost surely, 2^312153813 is an apocalyptic number.

It is an amenable number.

312153813 is a deficient number, since it is larger than the sum of its proper divisors (178132555).

312153813 is a wasteful number, since it uses less digits than its factorization.

312153813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2854 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 312153813 is about 17667.8751693575. The cubic root of 312153813 is about 678.3537259346.

The spelling of 312153813 in words is "three hundred twelve million, one hundred fifty-three thousand, eight hundred thirteen".