2553 has 8 divisors (see below), whose sum is σ = 3648. Its totient is φ = 1584.

The previous prime is 2551. The next prime is 2557. The reversal of 2553 is 3552.

Added to its reverse (3552) it gives a triangular number (6105 = T₁₁₀).

2553 is nontrivially palindromic in base 2 and base 16.

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

It is not a de Polignac number, because 2553 - 2¹ = 2551 is a prime.

2553 is an undulating number in base 16.

It is a Curzon number.

It is a plaindrome in base 9 and base 12.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2551) 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, 51 + ... + 87.

It is an arithmetic number, because the mean of its divisors is an integer number (456).

2²⁵⁵³ is an apocalyptic number.

2553 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2553 is a deficient number, since it is larger than the sum of its proper divisors (1095).

2553 is a wasteful number, since it uses less digits than its factorization.

2553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63.

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

The square root of 2553 is about 50.5272203866. The cubic root of 2553 is about 13.6673276169.

Adding to 2553 its reverse (3552), we get a triangular number (6105 = T₁₁₀).

Subtracting 2553 from its reverse (3552), we obtain a palindrome (999).

It can be divided in two parts, 25 and 53, that added together give a triangular number (78 = T₁₂).

The spelling of 2553 in words is "two thousand, five hundred fifty-three".