11253 has 12 divisors (see below), whose sum is σ = 17024. Its totient is φ = 6600.

The previous prime is 11251. The next prime is 11257. The reversal of 11253 is 35211.

11253 is nontrivially palindromic in base 2 and base 7.

11253 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11253 - 2¹ = 11251 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348 + ... + 378.

2¹¹²⁵³ is an apocalyptic number.

It is an amenable number.

11253 is a deficient number, since it is larger than the sum of its proper divisors (5771).

11253 is a wasteful number, since it uses less digits than its factorization.

11253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 45 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 11253 is about 106.0801583709. The cubic root of 11253 is about 22.4090152912.

Adding to 11253 its reverse (35211), we get a palindrome (46464).

It can be divided in two parts, 1125 and 3, that multiplied together give a cube (3375 = 15³).

The spelling of 11253 in words is "eleven thousand, two hundred fifty-three".