2513 has 4 divisors (see below), whose sum is σ = 2880. Its totient is φ = 2148.

The previous prime is 2503. The next prime is 2521. The reversal of 2513 is 3152.

2513 is digitally balanced in base 2, 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, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2513 - 2¹⁰ = 1489 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 2494 and 2503.

It is not an unprimeable number, because it can be changed into a prime (2503) 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, 173 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

It is an amenable number.

2513 is a deficient number, since it is larger than the sum of its proper divisors (367).

2513 is an equidigital number, since it uses as much as digits as its factorization.

2513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its digits is 30, while the sum is 11.

The square root of 2513 is about 50.1298314380. The cubic root of 2513 is about 13.5955723765.

Adding to 2513 its reverse (3152), we get a palindrome (5665).

It can be divided in two parts, 25 and 13, that multiplied together give a triangular number (325 = T₂₅).

The spelling of 2513 in words is "two thousand, five hundred thirteen".