516087312200 has 48 divisors (see below), whose sum is σ = 1200244654500. Its totient is φ = 206376145920.

The previous prime is 516087312163. The next prime is 516087312211. The reversal of 516087312200 is 2213780615.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 228814895716 + 287272416484 = 478346^2 + 535978^2 .

It is a super-2 number, since 2×516087312200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 340196 + ... + 1071404.

Almost surely, 2^516087312200 is an apocalyptic number.

516087312200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516087312200 is an abundant number, since it is smaller than the sum of its proper divisors (684157342300).

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

516087312200 is a wasteful number, since it uses less digits than its factorization.

516087312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734754 (or 734745 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 516087312200 in words is "five hundred sixteen billion, eighty-seven million, three hundred twelve thousand, two hundred".