513953125 has 56 divisors (see below), whose sum is σ = 759990272. Its totient is φ = 340200000.

The previous prime is 513953119. The next prime is 513953177. The reversal of 513953125 is 521359315.

It is a sliding number, since 513953125 = 1953125 + 512000000 and 1/1953125 + 1/512000000 = 0.000000513953125.

It is not a de Polignac number, because 513953125 - 2³ = 513953117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4046812 + ... + 4046938.

Almost surely, 2^513953125 is an apocalyptic number.

It is an amenable number.

513953125 is a deficient number, since it is larger than the sum of its proper divisors (246037147).

513953125 is an frugal number, since it uses more digits than its factorization.

513953125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its digits is 20250, while the sum is 34.

The square root of 513953125 is about 22670.5342901309. The cubic root of 513953125 is about 801.0159618349.

The spelling of 513953125 in words is "five hundred thirteen million, nine hundred fifty-three thousand, one hundred twenty-five".