251825 has 12 divisors (see below), whose sum is σ = 357120. Its totient is φ = 172560.

The previous prime is 251809. The next prime is 251831. The reversal of 251825 is 528152.

It is not a de Polignac number, because 251825 - 2⁴ = 251809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 251825.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 251825.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

2²⁵¹⁸²⁵ is an apocalyptic number.

251825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251825 is a deficient number, since it is larger than the sum of its proper divisors (105295).

251825 is a wasteful number, since it uses less digits than its factorization.

251825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1451 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 251825 is about 501.8216814766. The cubic root of 251825 is about 63.1489713879.

Multiplying 251825 by its sum of digits (23), we get a palindrome (5791975).

Adding to 251825 its reverse (528152), we get a palindrome (779977).

The spelling of 251825 in words is "two hundred fifty-one thousand, eight hundred twenty-five".