253825 has 24 divisors (see below), whose sum is σ = 374976. Its totient is φ = 168000.

The previous prime is 253823. The next prime is 253853. The reversal of 253825 is 528352.

It is not a de Polignac number, because 253825 - 2¹ = 253823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

Its product of digits (2400) is a multiple of the sum of its prime divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 253825.

It is not an unprimeable number, because it can be changed into a prime (253823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3540 + ... + 3610.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2²⁵³⁸²⁵ is an apocalyptic number.

253825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253825 is a deficient number, since it is larger than the sum of its proper divisors (121151).

253825 is a wasteful number, since it uses less digits than its factorization.

253825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 253825 is about 503.8104802403. The cubic root of 253825 is about 63.3157076221.

253825 divided by its sum of digits (25) gives a triangular number (10153 = T₁₄₂).

The spelling of 253825 in words is "two hundred fifty-three thousand, eight hundred twenty-five".