513416904 has 384 divisors, whose sum is σ = 1820206080. Its totient is φ = 118540800.

The previous prime is 513416873. The next prime is 513416909. The reversal of 513416904 is 409614315.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (513416909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7231189 + ... + 7231259.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2^513416904 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 513416904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910103040).

513416904 is an abundant number, since it is smaller than the sum of its proper divisors (1306789176).

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

513416904 is a wasteful number, since it uses less digits than its factorization.

513416904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 513416904 is about 22658.7048173544. The cubic root of 513416904 is about 800.7372911268.

The spelling of 513416904 in words is "five hundred thirteen million, four hundred sixteen thousand, nine hundred four".