656960501961 has 15 divisors (see below), whose sum is σ = 981396338461. Its totient is φ = 437968804788.

The previous prime is 656960501941. The next prime is 656960502031. The reversal of 656960501961 is 169105069656.

The square root of 656960501961 is 810531.

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

656960501961 is a `hidden beast` number, since 6 + 569 + 6 + 0 + 5 + 0 + 19 + 61 = 666.

It is not a de Polignac number, because 656960501961 - 2⁷ = 656960501833 is a prime.

It is a super-3 number, since 3×656960501961³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 656960501898 and 656960501907.

It is not an unprimeable number, because it can be changed into a prime (656960501941) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7249750 + ... + 7339808.

Almost surely, 2^656960501961 is an apocalyptic number.

656960501961 is the 810531-st square number.

656960501961 is the 405266-th centered octagonal number.

It is an amenable number.

656960501961 is a deficient number, since it is larger than the sum of its proper divisors (324435836500).

656960501961 is an frugal number, since it uses more digits than its factorization.

656960501961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180130 (or 90062 counting only the distinct ones).

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

The spelling of 656960501961 in words is "six hundred fifty-six billion, nine hundred sixty million, five hundred one thousand, nine hundred sixty-one".