51086517142527 has 128 divisors (see below), whose sum is σ = 81667856793600. Its totient is φ = 31462886961792.

The previous prime is 51086517142501. The next prime is 51086517142541. The reversal of 51086517142527 is 72524171568015.

51086517142527 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 6 + 5 + 1 + 71 + 42 + 527 = 666.

It is not a de Polignac number, because 51086517142527 - 2¹⁰ = 51086517141503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51086517142547) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3167755138 + ... + 3167771264.

It is an arithmetic number, because the mean of its divisors is an integer number (638030131200).

Almost surely, 2^{51086517142527} is an apocalyptic number.

51086517142527 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

51086517142527 is a deficient number, since it is larger than the sum of its proper divisors (30581339651073).

51086517142527 is a wasteful number, since it uses less digits than its factorization.

51086517142527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16914 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 51086517142527 in words is "fifty-one trillion, eighty-six billion, five hundred seventeen million, one hundred forty-two thousand, five hundred twenty-seven".