10051116561 has 12 divisors (see below), whose sum is σ = 14571856000. Its totient is φ = 6676016760.

The previous prime is 10051116557. The next prime is 10051116629. The reversal of 10051116561 is 16561115001.

10051116561 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 1 + 1 + 656 + 1 = 666.

It is not a de Polignac number, because 10051116561 - 2² = 10051116557 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10051116511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2058061 + ... + 2062938.

Almost surely, 2^10051116561 is an apocalyptic number.

It is an amenable number.

10051116561 is a deficient number, since it is larger than the sum of its proper divisors (4520739439).

10051116561 is a wasteful number, since it uses less digits than its factorization.

10051116561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121276 (or 4121273 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 10051116561 in words is "ten billion, fifty-one million, one hundred sixteen thousand, five hundred sixty-one".