251331164 has 48 divisors (see below), whose sum is σ = 531686400. Its totient is φ = 101549376.

The previous prime is 251331151. The next prime is 251331169. The reversal of 251331164 is 461133152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251331169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120797 + ... + 122859.

It is an arithmetic number, because the mean of its divisors is an integer number (11076800).

Almost surely, 2^251331164 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 251331164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265843200).

251331164 is an abundant number, since it is smaller than the sum of its proper divisors (280355236).

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

251331164 is a wasteful number, since it uses less digits than its factorization.

251331164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2320 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 251331164 is about 15853.4275158402. The cubic root of 251331164 is about 631.0766539805.

The spelling of 251331164 in words is "two hundred fifty-one million, three hundred thirty-one thousand, one hundred sixty-four".