13053 has 8 divisors (see below), whose sum is σ = 18400. Its totient is φ = 8208.

The previous prime is 13049. The next prime is 13063. The reversal of 13053 is 35031.

It is a happy number.

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

It is not a de Polignac number, because 13053 - 2² = 13049 is a prime.

It is a Duffinian number.

It is a Curzon number.

13053 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (2300).

2¹³⁰⁵³ is an apocalyptic number.

It is an amenable number.

13053 is a deficient number, since it is larger than the sum of its proper divisors (5347).

13053 is a wasteful number, since it uses less digits than its factorization.

13053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 13053 is about 114.2497264767. The cubic root of 13053 is about 23.5452575861.

Subtracting from 13053 its sum of digits (12), we obtain a triangular number (13041 = T₁₆₁).

Adding to 13053 its reverse (35031), we get a palindrome (48084).

The spelling of 13053 in words is "thirteen thousand, fifty-three".