312586040685213 has 32 divisors (see below), whose sum is σ = 469453719271680. Its totient is φ = 205542904219200.

The previous prime is 312586040685181. The next prime is 312586040685221.

312586040685213 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 8 + 604 + 0 + 6 + 8 + 5 + 21 + 3 = 666.

312586040685213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312586040685213 - 2⁵ = 312586040685181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312586040685213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312586040685313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217203606 + ... + 218638007.

It is an arithmetic number, because the mean of its divisors is an integer number (14670428727240).

Almost surely, 2^{312586040685213} is an apocalyptic number.

It is an amenable number.

312586040685213 is a deficient number, since it is larger than the sum of its proper divisors (156867678586467).

312586040685213 is a wasteful number, since it uses less digits than its factorization.

312586040685213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435841986 (or 435841980 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 312586040685213 in words is "three hundred twelve trillion, five hundred eighty-six billion, forty million, six hundred eighty-five thousand, two hundred thirteen".