312051580002 has 30 divisors (see below), whose sum is σ = 699242620593. Its totient is φ = 104014823328.

The previous prime is 312051579989. The next prime is 312051580003. The reversal of 312051580002 is 200085150213.

It is a happy number.

312051580002 is a `hidden beast` number, since 31 + 2 + 0 + 51 + 580 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 227863977201 + 84187602801 = 477351^2 + 290151^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=395001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312051580003) 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 14 ways as a sum of consecutive naturals, for example, 7088074 + ... + 7131962.

Almost surely, 2^312051580002 is an apocalyptic number.

312051580002 is an abundant number, since it is smaller than the sum of its proper divisors (387191040591).

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

312051580002 is an frugal number, since it uses more digits than its factorization.

312051580002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87792 (or 43894 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 312051580002 in words is "three hundred twelve billion, fifty-one million, five hundred eighty thousand, two".