251897152 has 56 divisors (see below), whose sum is σ = 540746696. Its totient is φ = 115734528.

The previous prime is 251897141. The next prime is 251897159. The reversal of 251897152 is 251798152.

It can be written as a sum of positive squares in 4 ways, for example, as 29767936 + 222129216 = 5456^2 + 14904^2 .

It is a super-2 number, since 2×251897152² = 126904350371422208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251897159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229918 + ... + 231010.

It is an arithmetic number, because the mean of its divisors is an integer number (9656191).

Almost surely, 2^251897152 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 251897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270373348).

251897152 is an abundant number, since it is smaller than the sum of its proper divisors (288849544).

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

251897152 is a wasteful number, since it uses less digits than its factorization.

251897152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1385 counting only the distinct ones).

The product of its digits is 50400, while the sum is 40.

The square root of 251897152 is about 15871.2681282877. The cubic root of 251897152 is about 631.5500188465.

The spelling of 251897152 in words is "two hundred fifty-one million, eight hundred ninety-seven thousand, one hundred fifty-two".