253025 has 12 divisors (see below), whose sum is σ = 325500. Its totient is φ = 194880.

The previous prime is 253013. The next prime is 253049. The reversal of 253025 is 520352.

It can be written as a sum of positive squares in 6 ways, for example, as 16 + 253009 = 4^2 + 503^2 .

It is not a de Polignac number, because 253025 - 2¹⁰ = 252001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252994 and 253012.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253025.

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, 551 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (27125).

2²⁵³⁰²⁵ is an apocalyptic number.

253025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253025 is a deficient number, since it is larger than the sum of its proper divisors (72475).

253025 is a wasteful number, since it uses less digits than its factorization.

253025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 253025 is about 503.0159043211. The cubic root of 253025 is about 63.2491186012.

Adding to 253025 its reverse (520352), we get a palindrome (773377).

It can be divided in two parts, 25 and 3025, that multiplied together give a square (75625 = 275²).

The spelling of 253025 in words is "two hundred fifty-three thousand, twenty-five".