312005672813 has 16 divisors (see below), whose sum is σ = 326135577600. Its totient is φ = 298139149440.

The previous prime is 312005672791. The next prime is 312005672821. The reversal of 312005672813 is 318276500213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312005672813 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 (312005672833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945208 + ... + 2099486.

It is an arithmetic number, because the mean of its divisors is an integer number (20383473600).

Almost surely, 2^312005672813 is an apocalyptic number.

It is an amenable number.

312005672813 is a deficient number, since it is larger than the sum of its proper divisors (14129904787).

312005672813 is a wasteful number, since it uses less digits than its factorization.

312005672813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155132.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 312005672813 in words is "three hundred twelve billion, five million, six hundred seventy-two thousand, eight hundred thirteen".