251325 has 18 divisors (see below), whose sum is σ = 450554. Its totient is φ = 133920.

The previous prime is 251323. The next prime is 251347. The reversal of 251325 is 523152.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 324 + 251001 = 18^2 + 501^2 .

It is not a de Polignac number, because 251325 - 2¹ = 251323 is a prime.

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 Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 251298 and 251307.

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 251325.

It is not an unprimeable number, because it can be changed into a prime (251323) 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 17 ways as a sum of consecutive naturals, for example, 334 + ... + 783.

2²⁵¹³²⁵ is an apocalyptic number.

251325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251325 is a deficient number, since it is larger than the sum of its proper divisors (199229).

251325 is a wasteful number, since it uses less digits than its factorization.

251325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1125 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 251325 is about 501.3232490121. The cubic root of 251325 is about 63.1071494800.

Adding to 251325 its reverse (523152), we get a palindrome (774477).

It can be divided in two parts, 251 and 325, that added together give a square (576 = 24²).

The spelling of 251325 in words is "two hundred fifty-one thousand, three hundred twenty-five".