659913161000625 has 405 divisors, whose sum is σ = 1398718974380871. Its totient is φ = 298844712432000.

The previous prime is 659913161000579. The next prime is 659913161000633. The reversal of 659913161000625 is 526000161319956.

The square root of 659913161000625 is 25688775.

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

659913161000625 is a `hidden beast` number, since 6 + 5 + 9 + 9 + 1 + 3 + 1 + 6 + 1 + 0 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 161795576172321 + 498117584828304 = 12719889^2 + 22318548^2 .

It is not a de Polignac number, because 659913161000625 - 2⁹ = 659913161000113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 2252263347979 + ... + 2252263348271.

Almost surely, 2^{659913161000625} is an apocalyptic number.

659913161000625 is the 25688775-th square number.

659913161000625 is the 12844388-th centered octagonal number.

It is an amenable number.

659913161000625 is an abundant number, since it is smaller than the sum of its proper divisors (738805813380246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

659913161000625 is an frugal number, since it uses more digits than its factorization.

659913161000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 659913161000625 in words is "six hundred fifty-nine trillion, nine hundred thirteen billion, one hundred sixty-one million, six hundred twenty-five", and thus it is an aban number.