513412800 has 84 divisors (see below), whose sum is σ = 1684437576. Its totient is φ = 136908800.

The previous prime is 513412799. The next prime is 513412811. The reversal of 513412800 is 8214315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48681 + ... + 58280.

Almost surely, 2^513412800 is an apocalyptic number.

513412800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513412800 is an abundant number, since it is smaller than the sum of its proper divisors (1171024776).

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

513412800 is a wasteful number, since it uses less digits than its factorization.

513412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106986 (or 106971 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 513412800 is about 22658.6142559513. The cubic root of 513412800 is about 800.7351575556.

The spelling of 513412800 in words is "five hundred thirteen million, four hundred twelve thousand, eight hundred".