251251488 has 72 divisors (see below), whose sum is σ = 716136876. Its totient is φ = 83558400.

The previous prime is 251251477. The next prime is 251251489. The reversal of 251251488 is 884152152.

It can be written as a sum of positive squares in 2 ways, for example, as 250525584 + 725904 = 15828^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (251251489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183928 + ... + 185288.

Almost surely, 2^251251488 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 251251488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358068438).

251251488 is an abundant number, since it is smaller than the sum of its proper divisors (464885388).

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

251251488 is a wasteful number, since it uses less digits than its factorization.

251251488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2007 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 251251488 is about 15850.9144215720. The cubic root of 251251488 is about 631.0099598004.

The spelling of 251251488 in words is "two hundred fifty-one million, two hundred fifty-one thousand, four hundred eighty-eight".