251166520167 has 16 divisors (see below), whose sum is σ = 343339731168. Its totient is φ = 163225566720.

The previous prime is 251166520159. The next prime is 251166520243. The reversal of 251166520167 is 761025661152.

It is not a de Polignac number, because 251166520167 - 2³ = 251166520159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251166520567) 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 15 ways as a sum of consecutive naturals, for example, 692518 + ... + 990915.

It is an arithmetic number, because the mean of its divisors is an integer number (21458733198).

Almost surely, 2^251166520167 is an apocalyptic number.

251166520167 is a deficient number, since it is larger than the sum of its proper divisors (92173211001).

251166520167 is a wasteful number, since it uses less digits than its factorization.

251166520167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684690.

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 251166520167 in words is "two hundred fifty-one billion, one hundred sixty-six million, five hundred twenty thousand, one hundred sixty-seven".