956681566201 has 9 divisors (see below), whose sum is σ = 1009702928901. Its totient is φ = 906312299004.

The previous prime is 956681566193. The next prime is 956681566207. The reversal of 956681566201 is 102665186659.

The square root of 956681566201 is 978101.

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

It is not a de Polignac number, because 956681566201 - 2³ = 956681566193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (956681566207) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18558180 + ... + 18609658.

Almost surely, 2^956681566201 is an apocalyptic number.

956681566201 is the 978101-st square number.

956681566201 is the 489051-st centered octagonal number.

It is an amenable number.

956681566201 is a deficient number, since it is larger than the sum of its proper divisors (53021362700).

956681566201 is an frugal number, since it uses more digits than its factorization.

956681566201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102996 (or 51498 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 956681566201 in words is "nine hundred fifty-six billion, six hundred eighty-one million, five hundred sixty-six thousand, two hundred one".