51261620524101 has 24 divisors (see below), whose sum is σ = 79743687013536. Its totient is φ = 31544272156320.

The previous prime is 51261620524069. The next prime is 51261620524117. The reversal of 51261620524101 is 10142502616215.

51261620524101 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 1 + 6 + 20 + 524 + 101 = 666.

It is not a de Polignac number, because 51261620524101 - 2⁵ = 51261620524069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51261620524601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6540195 + ... + 12053936.

It is an arithmetic number, because the mean of its divisors is an integer number (3322653625564).

Almost surely, 2^{51261620524101} is an apocalyptic number.

It is an amenable number.

51261620524101 is a deficient number, since it is larger than the sum of its proper divisors (28482066489435).

51261620524101 is a wasteful number, since it uses less digits than its factorization.

51261620524101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18617713 (or 18617710 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 51261620524101 in words is "fifty-one trillion, two hundred sixty-one billion, six hundred twenty million, five hundred twenty-four thousand, one hundred one".