513153625 has 8 divisors (see below), whose sum is σ = 640415880. Its totient is φ = 410522800.

The previous prime is 513153617. The next prime is 513153649. The reversal of 513153625 is 526351315.

It can be written as a sum of positive squares in 4 ways, for example, as 146967129 + 366186496 = 12123^2 + 19136^2 .

It is not a de Polignac number, because 513153625 - 2³ = 513153617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2052490 + ... + 2052739.

It is an arithmetic number, because the mean of its divisors is an integer number (80051985).

Almost surely, 2^513153625 is an apocalyptic number.

It is an amenable number.

513153625 is a deficient number, since it is larger than the sum of its proper divisors (127262255).

513153625 is an equidigital number, since it uses as much as digits as its factorization.

513153625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105244 (or 4105234 counting only the distinct ones).

The product of its digits is 13500, while the sum is 31.

The square root of 513153625 is about 22652.8944066757. The cubic root of 513153625 is about 800.6003956478.

The spelling of 513153625 in words is "five hundred thirteen million, one hundred fifty-three thousand, six hundred twenty-five".