251226 has 24 divisors (see below), whose sum is σ = 577044. Its totient is φ = 78720.

The previous prime is 251221. The next prime is 251231. The reversal of 251226 is 622152.

251226 is digitally balanced in base 3, 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 (251221) and next prime (251231).

It can be written as a sum of positive squares in 2 ways, for example, as 251001 + 225 = 501^2 + 15^2 .

It is a super-2 number, since 2×251226² = 126229006152, which contains 22 as substring.

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

It is a plaindrome in base 14.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 251199 and 251208.

It is not an unprimeable number, because it can be changed into a prime (251221) by changing a digit.

251226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 105 + ... + 716.

2²⁵¹²²⁶ is an apocalyptic number.

251226 is an abundant number, since it is smaller than the sum of its proper divisors (325818).

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

251226 is a wasteful number, since it uses less digits than its factorization.

251226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 843 counting only the distinct ones).

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

The square root of 251226 is about 501.2245005983. The cubic root of 251226 is about 63.0988621650.

Subtracting from 251226 its product of digits (240), we obtain a triangular number (250986 = T₇₀₈).

Adding to 251226 its reverse (622152), we get a palindrome (873378).

The spelling of 251226 in words is "two hundred fifty-one thousand, two hundred twenty-six".