513563204 has 72 divisors (see below), whose sum is σ = 1168144320. Its totient is φ = 193152960.

The previous prime is 513563189. The next prime is 513563207. The reversal of 513563204 is 402365315.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (513563207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95639 + ... + 100865.

Almost surely, 2^513563204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513563204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584072160).

513563204 is an abundant number, since it is smaller than the sum of its proper divisors (654581116).

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

513563204 is a wasteful number, since it uses less digits than its factorization.

513563204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 513563204 is about 22661.9329272681. The cubic root of 513563204 is about 800.8133415641.

The spelling of 513563204 in words is "five hundred thirteen million, five hundred sixty-three thousand, two hundred four".