513625800 has 48 divisors (see below), whose sum is σ = 1592241840. Its totient is φ = 136966720.

The previous prime is 513625799. The next prime is 513625807. The reversal of 513625800 is 8526315.

It is a super-2 number, since 2×513625800² = 527622924851280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (513625807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427422 + ... + 428621.

It is an arithmetic number, because the mean of its divisors is an integer number (33171705).

Almost surely, 2^513625800 is an apocalyptic number.

513625800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513625800 is an abundant number, since it is smaller than the sum of its proper divisors (1078616040).

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

513625800 is a wasteful number, since it uses less digits than its factorization.

513625800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856062 (or 856053 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 513625800 is about 22663.3139677321. The cubic root of 513625800 is about 800.8458761351.

The spelling of 513625800 in words is "five hundred thirteen million, six hundred twenty-five thousand, eight hundred".