251225 has 12 divisors (see below), whose sum is σ = 335916. Its totient is φ = 185280.

The previous prime is 251221. The next prime is 251231. The reversal of 251225 is 522152.

It can be written as a sum of positive squares in 6 ways, for example, as 80656 + 170569 = 284^2 + 413^2 .

It is not a de Polignac number, because 251225 - 2² = 251221 is a prime.

It is a super-2 number, since 2×251225² = 126228001250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (251221) 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, 62 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (27993).

2²⁵¹²²⁵ is an apocalyptic number.

251225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251225 is a deficient number, since it is larger than the sum of its proper divisors (84691).

251225 is a wasteful number, since it uses less digits than its factorization.

251225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 791 counting only the distinct ones).

The product of its digits is 200, while the sum is 17.

The square root of 251225 is about 501.2235030403. The cubic root of 251225 is about 63.0987784437.

Adding to 251225 its reverse (522152), we get a palindrome (773377).

It can be divided in two parts, 25 and 1225, that multiplied together give a square (30625 = 175²).

The spelling of 251225 in words is "two hundred fifty-one thousand, two hundred twenty-five".