513090800 has 60 divisors (see below), whose sum is σ = 1240243536. Its totient is φ = 203980800.

The previous prime is 513090797. The next prime is 513090841. The reversal of 513090800 is 8090315.

It is a self number, because there is not a number n which added to its sum of digits gives 513090800.

It is a congruent number.

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, 62960 + ... + 70640.

Almost surely, 2^513090800 is an apocalyptic number.

513090800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620121768).

513090800 is an abundant number, since it is smaller than the sum of its proper divisors (727152736).

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

513090800 is a wasteful number, since it uses less digits than its factorization.

513090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7866 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 513090800 is about 22651.5076760908. The cubic root of 513090800 is about 800.5677220193.

The spelling of 513090800 in words is "five hundred thirteen million, ninety thousand, eight hundred".