513707904 has 144 divisors (see below), whose sum is σ = 1571336520. Its totient is φ = 161058816.

The previous prime is 513707899. The next prime is 513707947. The reversal of 513707904 is 409707315.

It is a happy number.

513707904 is a `hidden beast` number, since 513 + 70 + 79 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332157 + ... + 333699.

Almost surely, 2^513707904 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 513707904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785668260).

513707904 is an abundant number, since it is smaller than the sum of its proper divisors (1057628616).

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

513707904 is a wasteful number, since it uses less digits than its factorization.

513707904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 513707904 is about 22665.1252809244. The cubic root of 513707904 is about 800.8885460753. Note that the first 3 decimals are identical.

The spelling of 513707904 in words is "five hundred thirteen million, seven hundred seven thousand, nine hundred four".