253253 has 24 divisors (see below), whose sum is σ = 357504. Its totient is φ = 174240.

The previous prime is 253247. The next prime is 253273. The reversal of 253253 is 352352.

It is not a de Polignac number, because 253253 - 2¹⁴ = 236869 is a prime.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

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 253253.

It is not an unprimeable number, because it can be changed into a prime (253243) 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, 11000 + ... + 11022.

It is an arithmetic number, because the mean of its divisors is an integer number (14896).

2²⁵³²⁵³ is an apocalyptic number.

253253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

253253 is a deficient number, since it is larger than the sum of its proper divisors (104251).

253253 is a wasteful number, since it uses less digits than its factorization.

253253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 54 counting only the distinct ones).

The product of its digits is 900, while the sum is 20.

The square root of 253253 is about 503.2424862827. The cubic root of 253253 is about 63.2681107558.

Subtracting 253253 from its reverse (352352), we obtain a palindrome (99099).

The spelling of 253253 in words is "two hundred fifty-three thousand, two hundred fifty-three".