513866754025 has 27 divisors (see below), whose sum is σ = 640648921719. Its totient is φ = 408876918480.

The previous prime is 513866754007. The next prime is 513866754041. The reversal of 513866754025 is 520457668315.

The square root of 513866754025 is 716845.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 184992031449 + 328874722576 = 430107^2 + 573476^2 .

It is not a de Polignac number, because 513866754025 - 2²¹ = 513864656873 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1100356842 + ... + 1100357308.

Almost surely, 2^513866754025 is an apocalyptic number.

513866754025 is the 716845-th square number.

513866754025 is the 358423-rd centered octagonal number.

It is an amenable number.

513866754025 is a deficient number, since it is larger than the sum of its proper divisors (126782167694).

513866754025 is an frugal number, since it uses more digits than its factorization.

513866754025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 52.

The spelling of 513866754025 in words is "five hundred thirteen billion, eight hundred sixty-six million, seven hundred fifty-four thousand, twenty-five".