5253 has 8 divisors (see below), whose sum is σ = 7488. Its totient is φ = 3264.

The previous prime is 5237. The next prime is 5261. The reversal of 5253 is 3525.

Added to its reverse (3525) it gives a triangular number (8778 = T₁₃₂).

5253 is nontrivially palindromic in base 4.

5253 is a nontrivial binomial coefficient, being equal to C(103, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5253 - 2⁴ = 5237 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

5253 is a lucky 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 5253.

It is not an unprimeable number, because it can be changed into a prime (5233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (936).

5253 is the 102-nd triangular number.

It is an amenable number.

5253 is a deficient number, since it is larger than the sum of its proper divisors (2235).

5253 is a wasteful number, since it uses less digits than its factorization.

5253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

The product of its digits is 150, while the sum is 15.

The square root of 5253 is about 72.4775827411. The cubic root of 5253 is about 17.3834430956.

Adding to 5253 its reverse (3525), we get a palindrome (8778).

Subtracting from 5253 its reverse (3525), we obtain a cube (1728 = 12³).

It can be divided in two parts, 525 and 3, that added together give a triangular number (528 = T₃₂).

The spelling of 5253 in words is "five thousand, two hundred fifty-three".