513616423200 has 72 divisors (see below), whose sum is σ = 1671821465328. Its totient is φ = 136964378880.

The previous prime is 513616423189. The next prime is 513616423217. The reversal of 513616423200 is 2324616315.

It is a super-2 number, since 2×513616423200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107001022 + ... + 107005821.

It is an arithmetic number, because the mean of its divisors is an integer number (23219742574).

Almost surely, 2^513616423200 is an apocalyptic number.

513616423200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513616423200 is an abundant number, since it is smaller than the sum of its proper divisors (1158205042128).

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

513616423200 is a wasteful number, since it uses less digits than its factorization.

513616423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214006866 (or 214006853 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 513616423200 in words is "five hundred thirteen billion, six hundred sixteen million, four hundred twenty-three thousand, two hundred".