251056 has 40 divisors (see below), whose sum is σ = 562464. Its totient is φ = 107520.

The previous prime is 251051. The next prime is 251057. The reversal of 251056 is 650152.

It is a happy number.

251056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (251051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3501 + ... + 3571.

2²⁵¹⁰⁵⁶ is an apocalyptic number.

251056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

251056 is an abundant number, since it is smaller than the sum of its proper divisors (311408).

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

251056 is a wasteful number, since it uses less digits than its factorization.

251056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 251056 is about 501.0548872130. The cubic root of 251056 is about 63.0846263415.

It can be divided in two parts, 25 and 1056, that added together give a triangular number (1081 = T₄₆).

The spelling of 251056 in words is "two hundred fifty-one thousand, fifty-six".