516413320625 has 10 divisors (see below), whose sum is σ = 645310086234. Its totient is φ = 413130656000.

The previous prime is 516413320597. The next prime is 516413320711. The reversal of 516413320625 is 526023314615.

It can be written as a sum of positive squares in 5 ways, for example, as 194244695824 + 322168624801 = 440732^2 + 567599^2 .

It is not a de Polignac number, because 516413320625 - 2⁸ = 516413320369 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 413130032 + ... + 413131281.

Almost surely, 2^516413320625 is an apocalyptic number.

It is an amenable number.

516413320625 is a deficient number, since it is larger than the sum of its proper divisors (128896765609).

516413320625 is an frugal number, since it uses more digits than its factorization.

516413320625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826261333 (or 826261318 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 516413320625 in words is "five hundred sixteen billion, four hundred thirteen million, three hundred twenty thousand, six hundred twenty-five".