253312 has 16 divisors (see below), whose sum is σ = 504900. Its totient is φ = 126592.

The previous prime is 253307. The next prime is 253321. The reversal of 253312 is 213352.

253312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 253312.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 862 + ... + 1117.

2²⁵³³¹² is an apocalyptic number.

It is an amenable number.

253312 is a deficient number, since it is larger than the sum of its proper divisors (251588).

253312 is an equidigital number, since it uses as much as digits as its factorization.

253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1981 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 253312 is about 503.3011027208. The cubic root of 253312 is about 63.2730235356.

Adding to 253312 its reverse (213352), we get a palindrome (466664).

It can be divided in two parts, 253 and 312, that added together give a palindrome (565).

The spelling of 253312 in words is "two hundred fifty-three thousand, three hundred twelve".