513475600 has 135 divisors (see below), whose sum is σ = 1369260669. Its totient is φ = 184905600.

The previous prime is 513475579. The next prime is 513475609. The reversal of 513475600 is 6574315.

The square root of 513475600 is 22660.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 184851216 + 328624384 = 13596^2 + 18128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513475609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4985149 + ... + 4985251.

Almost surely, 2^513475600 is an apocalyptic number.

513475600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

513475600 is the 22660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513475600

513475600 is an abundant number, since it is smaller than the sum of its proper divisors (855785069).

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

513475600 is a wasteful number, since it uses less digits than its factorization.

513475600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The cubic root of 513475600 is about 800.7678045262.

The spelling of 513475600 in words is "five hundred thirteen million, four hundred seventy-five thousand, six hundred".