5106671165167 has 72 divisors (see below), whose sum is σ = 6126534026928. Its totient is φ = 4251269468160.

The previous prime is 5106671165161. The next prime is 5106671165173. The reversal of 5106671165167 is 7615611766015.

It is an interprime number because it is at equal distance from previous prime (5106671165161) and next prime (5106671165173).

It is not a de Polignac number, because 5106671165167 - 2²³ = 5106662776559 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106671165161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3907169328 + ... + 3907170634.

It is an arithmetic number, because the mean of its divisors is an integer number (85090750374).

Almost surely, 2^{5106671165167} is an apocalyptic number.

5106671165167 is a deficient number, since it is larger than the sum of its proper divisors (1019862861761).

5106671165167 is a wasteful number, since it uses less digits than its factorization.

5106671165167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 52.

The spelling of 5106671165167 in words is "five trillion, one hundred six billion, six hundred seventy-one million, one hundred sixty-five thousand, one hundred sixty-seven".