51086536122167 has 128 divisors (see below), whose sum is σ = 65912709316608. Its totient is φ = 38521069171200.

The previous prime is 51086536122161. The next prime is 51086536122179. The reversal of 51086536122167 is 76122163568015.

It is a happy number.

It is not a de Polignac number, because 51086536122167 - 2⁴ = 51086536122151 is a prime.

It is a super-2 number, since 2×51086536122167² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51086536122161) 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, 51550490042 + ... + 51550491032.

It is an arithmetic number, because the mean of its divisors is an integer number (514943041536).

Almost surely, 2^{51086536122167} is an apocalyptic number.

51086536122167 is a deficient number, since it is larger than the sum of its proper divisors (14826173194441).

51086536122167 is a wasteful number, since it uses less digits than its factorization.

51086536122167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309.

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 51086536122167 in words is "fifty-one trillion, eighty-six billion, five hundred thirty-six million, one hundred twenty-two thousand, one hundred sixty-seven".