251256 has 48 divisors (see below), whose sum is σ = 685800. Its totient is φ = 76608.

The previous prime is 251233. The next prime is 251257. The reversal of 251256 is 652152.

It is a plaindrome in base 14.

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 251256.

It is not an unprimeable number, because it can be changed into a prime (251257) 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 11 ways as a sum of consecutive naturals, for example, 8650 + ... + 8678.

2²⁵¹²⁵⁶ 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 251256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342900).

251256 is an abundant number, since it is smaller than the sum of its proper divisors (434544).

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

251256 is a wasteful number, since it uses less digits than its factorization.

251256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 251256 is about 501.2544264144. The cubic root of 251256 is about 63.1013737025.

Multiplying 251256 by its sum of digits (21), we get a triangular number (5276376 = T₃₂₄₈).

The spelling of 251256 in words is "two hundred fifty-one thousand, two hundred fifty-six".