312531005460 has 24 divisors (see below), whose sum is σ = 875086815456. Its totient is φ = 83341601440.

The previous prime is 312531005387. The next prime is 312531005473. The reversal of 312531005460 is 64500135213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2604424986 + ... + 2604425105.

It is an arithmetic number, because the mean of its divisors is an integer number (36461950644).

Almost surely, 2^312531005460 is an apocalyptic number.

312531005460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312531005460 is an abundant number, since it is smaller than the sum of its proper divisors (562555809996).

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

312531005460 is a wasteful number, since it uses less digits than its factorization.

312531005460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208850103 (or 5208850101 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 312531005460 in words is "three hundred twelve billion, five hundred thirty-one million, five thousand, four hundred sixty".