251125 has 24 divisors (see below), whose sum is σ = 373464. Its totient is φ = 168000.

The previous prime is 251117. The next prime is 251143. The reversal of 251125 is 521152.

It can be written as a sum of positive squares in 4 ways, for example, as 56644 + 194481 = 238^2 + 441^2 .

It is not a de Polignac number, because 251125 - 2³ = 251117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 251099 and 251108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6105 + ... + 6145.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2²⁵¹¹²⁵ is an apocalyptic number.

251125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251125 is a deficient number, since it is larger than the sum of its proper divisors (122339).

251125 is an equidigital number, since it uses as much as digits as its factorization.

251125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 53 counting only the distinct ones).

The product of its digits is 100, while the sum is 16.

The square root of 251125 is about 501.1237372147. The cubic root of 251125 is about 63.0904051857.

Adding to 251125 its reverse (521152), we get a palindrome (772277).

It can be divided in two parts, 251 and 125, that multiplied together give a triangular number (31375 = T₂₅₀).

The spelling of 251125 in words is "two hundred fifty-one thousand, one hundred twenty-five".