513225504 has 96 divisors (see below), whose sum is σ = 1633020480. Its totient is φ = 155520000.

The previous prime is 513225497. The next prime is 513225509. The reversal of 513225504 is 405522315.

It is a happy number.

513225504 is a `hidden beast` number, since 5 + 132 + 25 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (513225509) 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, 17497 + ... + 36504.

It is an arithmetic number, because the mean of its divisors is an integer number (17010630).

Almost surely, 2^513225504 is an apocalyptic number.

513225504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

513225504 is an abundant number, since it is smaller than the sum of its proper divisors (1119794976).

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

513225504 is a wasteful number, since it uses less digits than its factorization.

513225504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54031 (or 54017 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 513225504 is about 22654.4808812738. The cubic root of 513225504 is about 800.6377747524.

Adding to 513225504 its reverse (405522315), we get a palindrome (918747819).

The spelling of 513225504 in words is "five hundred thirteen million, two hundred twenty-five thousand, five hundred four".