251262 has 48 divisors (see below), whose sum is σ = 628992. Its totient is φ = 74520.

The previous prime is 251261. The next prime is 251263. The reversal of 251262 is 262152.

It is an interprime number because it is at equal distance from previous prime (251261) and next prime (251263).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 251262.

It is not an unprimeable number, because it can be changed into a prime (251261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5323 + ... + 5369.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2²⁵¹²⁶² is an apocalyptic number.

251262 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 251262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496).

251262 is an abundant number, since it is smaller than the sum of its proper divisors (377730).

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

251262 is a wasteful number, since it uses less digits than its factorization.

251262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 251262 is about 501.2604113632. The cubic root of 251262 is about 63.1018759860.

The spelling of 251262 in words is "two hundred fifty-one thousand, two hundred sixty-two".