253313 has 6 divisors (see below), whose sum is σ = 261234. Its totient is φ = 245616.

The previous prime is 253307. The next prime is 253321. The reversal of 253313 is 313352.

253313 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 223729 + 29584 = 473^2 + 172^2 .

It is not a de Polignac number, because 253313 - 2¹⁰ = 252289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253291 and 253300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1781 + ... + 1917.

It is an arithmetic number, because the mean of its divisors is an integer number (43539).

2²⁵³³¹³ is an apocalyptic number.

It is an amenable number.

253313 is a deficient number, since it is larger than the sum of its proper divisors (7921).

253313 is an equidigital number, since it uses as much as digits as its factorization.

253313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 180 counting only the distinct ones).

The product of its digits is 270, while the sum is 17.

The square root of 253313 is about 503.3020961609. The cubic root of 253313 is about 63.2731067965.

Adding to 253313 its reverse (313352), we get a palindrome (566665).

The spelling of 253313 in words is "two hundred fifty-three thousand, three hundred thirteen".