513628993200 has 120 divisors (see below), whose sum is σ = 1698399993856. Its totient is φ = 132549408000.

The previous prime is 513628993177. The next prime is 513628993219. The reversal of 513628993200 is 2399826315.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 513628993200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6866416 + ... + 6940815.

Almost surely, 2^513628993200 is an apocalyptic number.

513628993200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513628993200 is an abundant number, since it is smaller than the sum of its proper divisors (1184771000656).

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

513628993200 is a wasteful number, since it uses less digits than its factorization.

513628993200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13807283 (or 13807272 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 513628993200 in words is "five hundred thirteen billion, six hundred twenty-eight million, nine hundred ninety-three thousand, two hundred".