251122164 has 96 divisors (see below), whose sum is σ = 663505920. Its totient is φ = 73446912.

The previous prime is 251122163. The next prime is 251122187. The reversal of 251122164 is 461221152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251122163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259209 + ... + 260175.

It is an arithmetic number, because the mean of its divisors is an integer number (6911520).

Almost surely, 2^251122164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251122164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331752960).

251122164 is an abundant number, since it is smaller than the sum of its proper divisors (412383756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

251122164 is a wasteful number, since it uses less digits than its factorization.

251122164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1075 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 251122164 is about 15846.8345103999. The cubic root of 251122164 is about 630.9016768765.

The spelling of 251122164 in words is "two hundred fifty-one million, one hundred twenty-two thousand, one hundred sixty-four".