513392904 has 48 divisors (see below), whose sum is σ = 1441942320. Its totient is φ = 171130320.

The previous prime is 513392881. The next prime is 513392909. The reversal of 513392904 is 409293315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (513392909) 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, 130102 + ... + 133989.

It is an arithmetic number, because the mean of its divisors is an integer number (30040465).

Almost surely, 2^513392904 is an apocalyptic number.

513392904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

513392904 is an abundant number, since it is smaller than the sum of its proper divisors (928549416).

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

513392904 is a wasteful number, since it uses less digits than its factorization.

513392904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264112 (or 264096 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 513392904 is about 22658.1752133750. The cubic root of 513392904 is about 800.7248139409.

The spelling of 513392904 in words is "five hundred thirteen million, three hundred ninety-two thousand, nine hundred four".