251232 has 24 divisors (see below), whose sum is σ = 659736. Its totient is φ = 83712.

The previous prime is 251231. The next prime is 251233. The reversal of 251232 is 232152.

251232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (251231) and next prime (251233).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 251232.

It is not an unprimeable number, because it can be changed into a prime (251231) 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, 1213 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (27489).

2²⁵¹²³² is an apocalyptic number.

It is an amenable number.

251232 is an abundant number, since it is smaller than the sum of its proper divisors (408504).

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

251232 is a wasteful number, since it uses less digits than its factorization.

251232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2622 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 251232 is about 501.2304859044. The cubic root of 251232 is about 63.0993644885.

Adding to 251232 its reverse (232152), we get a palindrome (483384).

The spelling of 251232 in words is "two hundred fifty-one thousand, two hundred thirty-two".