312359971506 has 16 divisors (see below), whose sum is σ = 681512665248. Its totient is φ = 94654536800.

The previous prime is 312359971501. The next prime is 312359971513. The reversal of 312359971506 is 605179953213.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312359971501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2366363355 + ... + 2366363486.

It is an arithmetic number, because the mean of its divisors is an integer number (42594541578).

Almost surely, 2^312359971506 is an apocalyptic number.

312359971506 is an abundant number, since it is smaller than the sum of its proper divisors (369152693742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312359971506 is a wasteful number, since it uses less digits than its factorization.

312359971506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732726857.

The product of its (nonzero) digits is 1530900, while the sum is 51.

The spelling of 312359971506 in words is "three hundred twelve billion, three hundred fifty-nine million, nine hundred seventy-one thousand, five hundred six".