513152025 has 24 divisors (see below), whose sum is σ = 850046784. Its totient is φ = 273153600.

The previous prime is 513151979. The next prime is 513152051. The reversal of 513152025 is 520251315.

It is a happy number.

It is not a de Polignac number, because 513152025 - 2¹³ = 513143833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513151986 and 513152004.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34252 + ... + 46898.

It is an arithmetic number, because the mean of its divisors is an integer number (35418616).

Almost surely, 2^513152025 is an apocalyptic number.

It is an amenable number.

513152025 is a deficient number, since it is larger than the sum of its proper divisors (336894759).

513152025 is a wasteful number, since it uses less digits than its factorization.

513152025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13201 (or 13196 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 513152025 is about 22652.8590910728. The cubic root of 513152025 is about 800.5995635630.

The spelling of 513152025 in words is "five hundred thirteen million, one hundred fifty-two thousand, twenty-five".