513663400 has 48 divisors (see below), whose sum is σ = 1195978140. Its totient is φ = 205171200.

The previous prime is 513663389. The next prime is 513663401. The reversal of 513663400 is 4366315.

It can be written as a sum of positive squares in 6 ways, for example, as 34316164 + 479347236 = 5858^2 + 21894^2 .

It is not an unprimeable number, because it can be changed into a prime (513663401) 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, 186030 + ... + 188770.

Almost surely, 2^513663400 is an apocalyptic number.

513663400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513663400 is an abundant number, since it is smaller than the sum of its proper divisors (682314740).

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

513663400 is a wasteful number, since it uses less digits than its factorization.

513663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 513663400 is about 22664.1434870149. The cubic root of 513663400 is about 800.8654176445.

The spelling of 513663400 in words is "five hundred thirteen million, six hundred sixty-three thousand, four hundred".