10056278961 has 9 divisors (see below), whose sum is σ = 14526170841. Its totient is φ = 6703985412.

The previous prime is 10056278933. The next prime is 10056278971. The reversal of 10056278961 is 16987265001.

The square root of 10056278961 is 100281.

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

10056278961 is a `hidden beast` number, since 1 + 0 + 0 + 562 + 7 + 89 + 6 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10056278961 - 2⁵ = 10056278929 is a prime.

It is a super-4 number, since 4×10056278961⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10056278971) 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, 284130 + ... + 317556.

Almost surely, 2^10056278961 is an apocalyptic number.

10056278961 is the 100281-st square number.

10056278961 is the 50141-st centered octagonal number.

It is an amenable number.

10056278961 is a deficient number, since it is larger than the sum of its proper divisors (4469891880).

10056278961 is an frugal number, since it uses more digits than its factorization.

10056278961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66860 (or 33430 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10056278961 in words is "ten billion, fifty-six million, two hundred seventy-eight thousand, nine hundred sixty-one".