512312404213215 has 48 divisors (see below), whose sum is σ = 901984145680800. Its totient is φ = 268964256134400.

The previous prime is 512312404213133. The next prime is 512312404213219.

512312404213215 is a `hidden beast` number, since 5 + 1 + 2 + 3 + 12 + 4 + 0 + 421 + 3 + 215 = 666.

512312404213215 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 512312404213215 - 2³³ = 512303814278623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 512312404213215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512312404213219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324994065 + ... + 326566634.

It is an arithmetic number, because the mean of its divisors is an integer number (18791336368350).

Almost surely, 2^{512312404213215} is an apocalyptic number.

512312404213215 is a deficient number, since it is larger than the sum of its proper divisors (389671741467585).

512312404213215 is a wasteful number, since it uses less digits than its factorization.

512312404213215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651560984 (or 651560981 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 51231240 and 4213215, that added together give a palindrome (55444455).

The spelling of 512312404213215 in words is "five hundred twelve trillion, three hundred twelve billion, four hundred four million, two hundred thirteen thousand, two hundred fifteen".