13253 has 4 divisors (see below), whose sum is σ = 13740. Its totient is φ = 12768.

The previous prime is 13249. The next prime is 13259. The reversal of 13253 is 35231.

13253 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9409 + 3844 = 97^2 + 62^2 .

It is a cyclic number.

It is not a de Polignac number, because 13253 - 2² = 13249 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13259) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (3435).

2¹³²⁵³ is an apocalyptic number.

It is an amenable number.

13253 is a deficient number, since it is larger than the sum of its proper divisors (487).

13253 is an equidigital number, since it uses as much as digits as its factorization.

13253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486.

The product of its digits is 90, while the sum is 14.

The square root of 13253 is about 115.1216747620. The cubic root of 13253 is about 23.6649032167.

Adding to 13253 its reverse (35231), we get a palindrome (48484).

It can be divided in two parts, 132 and 53, that multiplied together give a palindrome (6996).

The spelling of 13253 in words is "thirteen thousand, two hundred fifty-three".