513600125 has 8 divisors (see below), whose sum is σ = 640973112. Its totient is φ = 410880000.

The previous prime is 513600089. The next prime is 513600137. The reversal of 513600125 is 521006315.

It can be written as a sum of positive squares in 4 ways, for example, as 118504996 + 395095129 = 10886^2 + 19877^2 .

It is not a de Polignac number, because 513600125 - 2¹⁰ = 513599101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513600125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2054276 + ... + 2054525.

It is an arithmetic number, because the mean of its divisors is an integer number (80121639).

Almost surely, 2^513600125 is an apocalyptic number.

It is an amenable number.

513600125 is a deficient number, since it is larger than the sum of its proper divisors (127372987).

513600125 is an equidigital number, since it uses as much as digits as its factorization.

513600125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108816 (or 4108806 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 513600125 is about 22662.7475165744. The cubic root of 513600125 is about 800.8325317506.

The spelling of 513600125 in words is "five hundred thirteen million, six hundred thousand, one hundred twenty-five".