251875 has 20 divisors (see below), whose sum is σ = 349888. Its totient is φ = 180000.

The previous prime is 251861. The next prime is 251879. The reversal of 251875 is 578152.

It is not a de Polignac number, because 251875 - 2⁵ = 251843 is a prime.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251879) 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 19 ways as a sum of consecutive naturals, for example, 8110 + ... + 8140.

2²⁵¹⁸⁷⁵ is an apocalyptic number.

251875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

251875 is a deficient number, since it is larger than the sum of its proper divisors (98013).

251875 is an equidigital number, since it uses as much as digits as its factorization.

251875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its digits is 2800, while the sum is 28.

The square root of 251875 is about 501.8714974971. The cubic root of 251875 is about 63.1531505330.

The spelling of 251875 in words is "two hundred fifty-one thousand, eight hundred seventy-five".