514904506272 has 72 divisors (see below), whose sum is σ = 1576895061924. Its totient is φ = 158432154624.

The previous prime is 514904506247. The next prime is 514904506289. The reversal of 514904506272 is 272605409415.

514904506272 is a `hidden beast` number, since 5 + 14 + 9 + 0 + 4 + 5 + 0 + 627 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 429334215696 + 85570290576 = 655236^2 + 292524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68760213 + ... + 68767700.

Almost surely, 2^514904506272 is an apocalyptic number.

514904506272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

514904506272 is an abundant number, since it is smaller than the sum of its proper divisors (1061990555652).

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

514904506272 is a wasteful number, since it uses less digits than its factorization.

514904506272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137527942 (or 137527931 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 514904506272 in words is "five hundred fourteen billion, nine hundred four million, five hundred six thousand, two hundred seventy-two".