251925 has 12 divisors (see below), whose sum is σ = 416640. Its totient is φ = 134320.

The previous prime is 251917. The next prime is 251939. The reversal of 251925 is 529152.

251925 = 45² + 46² + ... + 94².

251925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 251925 - 2³ = 251917 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 251895 and 251904.

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 251925.

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, 1605 + ... + 1754.

It is an arithmetic number, because the mean of its divisors is an integer number (34720).

2²⁵¹⁹²⁵ is an apocalyptic number.

251925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251925 is a deficient number, since it is larger than the sum of its proper divisors (164715).

251925 is a wasteful number, since it uses less digits than its factorization.

251925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3367 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 251925 is about 501.9213085734. The cubic root of 251925 is about 63.1573291251.

It can be divided in two parts, 251 and 925, that added together give a triangular number (1176 = T₄₈).

The spelling of 251925 in words is "two hundred fifty-one thousand, nine hundred twenty-five".