251152 has 20 divisors (see below), whose sum is σ = 531216. Its totient is φ = 114080.

The previous prime is 251149. The next prime is 251159.

251152 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (251159) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 538 + ... + 889.

2²⁵¹¹⁵² is an apocalyptic number.

251152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

251152 is an abundant number, since it is smaller than the sum of its proper divisors (280064).

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

251152 is a wasteful number, since it uses less digits than its factorization.

251152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1440 counting only the distinct ones).

The product of its digits is 100, while the sum is 16.

The square root of 251152 is about 501.1506759449. The cubic root of 251152 is about 63.0926661844.

The spelling of 251152 in words is "two hundred fifty-one thousand, one hundred fifty-two".