513214625 has 64 divisors (see below), whose sum is σ = 810860544. Its totient is φ = 315000000.

The previous prime is 513214607. The next prime is 513214657. The reversal of 513214625 is 526412315.

513214625 = 286² + 287² + ... + 1160².

It is not a de Polignac number, because 513214625 - 2¹⁰ = 513213601 is a prime.

It is a Duffinian number.

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 63 ways as a sum of consecutive naturals, for example, 683000 + ... + 683750.

It is an arithmetic number, because the mean of its divisors is an integer number (12669696).

Almost surely, 2^513214625 is an apocalyptic number.

513214625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513214625 is a deficient number, since it is larger than the sum of its proper divisors (297645919).

513214625 is a wasteful number, since it uses less digits than its factorization.

513214625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 513214625 is about 22654.2407729767. The cubic root of 513214625 is about 800.6321175901.

The spelling of 513214625 in words is "five hundred thirteen million, two hundred fourteen thousand, six hundred twenty-five".