513500504 has 64 divisors (see below), whose sum is σ = 1142307360. Its totient is φ = 213719040.

The previous prime is 513500489. The next prime is 513500509. The reversal of 513500504 is 405005315.

It is a self number, because there is not a number n which added to its sum of digits gives 513500504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513500509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50714 + ... + 59990.

Almost surely, 2^513500504 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 513500504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571153680).

513500504 is an abundant number, since it is smaller than the sum of its proper divisors (628806856).

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

513500504 is a wasteful number, since it uses less digits than its factorization.

513500504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9348 (or 9344 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 513500504 is about 22660.5495079003. The cubic root of 513500504 is about 800.7807502884.

Adding to 513500504 its reverse (405005315), we get a palindrome (918505819).

The spelling of 513500504 in words is "five hundred thirteen million, five hundred thousand, five hundred four".