10051873679961 has 9 divisors (see below), whose sum is σ = 14519386831989. Its totient is φ = 6701242779036.

The previous prime is 10051873679959. The next prime is 10051873680031. The reversal of 10051873679961 is 16997637815001.

The square root of 10051873679961 is 3170469.

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

10051873679961 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 187 + 367 + 9 + 96 + 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 10051873679961 - 2¹ = 10051873679959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10051873679941) 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, 8982996 + ... + 10039818.

Almost surely, 2^{10051873679961} is an apocalyptic number.

10051873679961 is the 3170469-th square number.

10051873679961 is the 1585235-th centered octagonal number.

It is an amenable number.

10051873679961 is a deficient number, since it is larger than the sum of its proper divisors (4467513152028).

10051873679961 is an frugal number, since it uses more digits than its factorization.

10051873679961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113652 (or 1056826 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 10051873679961 in words is "ten trillion, fifty-one billion, eight hundred seventy-three million, six hundred seventy-nine thousand, nine hundred sixty-one".