513807604 has 36 divisors (see below), whose sum is σ = 934276140. Its totient is φ = 247219200.

The previous prime is 513807589. The next prime is 513807607. The reversal of 513807604 is 406708315.

It can be written as a sum of positive squares in 6 ways, for example, as 87385104 + 426422500 = 9348^2 + 20650^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 513807604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513807607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552612 + ... + 553540.

It is an arithmetic number, because the mean of its divisors is an integer number (25952115).

Almost surely, 2^513807604 is an apocalyptic number.

It is an amenable number.

513807604 is a deficient number, since it is larger than the sum of its proper divisors (420468536).

513807604 is a wasteful number, since it uses less digits than its factorization.

513807604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 513807604 is about 22667.3245884908. The cubic root of 513807604 is about 800.9403546500.

The spelling of 513807604 in words is "five hundred thirteen million, eight hundred seven thousand, six hundred four".