5151164075127 has 96 divisors (see below), whose sum is σ = 8841254123520. Its totient is φ = 2829027202560.

The previous prime is 5151164075081. The next prime is 5151164075137. The reversal of 5151164075127 is 7215704611515.

5151164075127 is a `hidden beast` number, since 5 + 1 + 5 + 116 + 407 + 5 + 127 = 666.

It is not a de Polignac number, because 5151164075127 - 2⁷ = 5151164074999 is a prime.

It is a super-2 number, since 2×5151164075127² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5151164075137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111781363 + ... + 111827435.

It is an arithmetic number, because the mean of its divisors is an integer number (92096397120).

Almost surely, 2^{5151164075127} is an apocalyptic number.

5151164075127 is a deficient number, since it is larger than the sum of its proper divisors (3690090048393).

5151164075127 is a wasteful number, since it uses less digits than its factorization.

5151164075127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46813 (or 46810 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 5151164075127 in words is "five trillion, one hundred fifty-one billion, one hundred sixty-four million, seventy-five thousand, one hundred twenty-seven".