7513 has 4 divisors (see below), whose sum is σ = 8208. Its totient is φ = 6820.

The previous prime is 7507. The next prime is 7517. The reversal of 7513 is 3157.

7513 is digitally balanced in base 3, 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 not a de Polignac number, because 7513 - 2⁵ = 7481 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9, base 13 and base 15.

It is a nialpdrome in base 6 and base 12.

It is not an unprimeable number, because it can be changed into a prime (7517) 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, 331 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (2052).

2⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

7513 is a deficient number, since it is larger than the sum of its proper divisors (695).

7513 is a wasteful number, since it uses less digits than its factorization.

7513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694.

The product of its digits is 105, while the sum is 16.

The square root of 7513 is about 86.6775634175. The cubic root of 7513 is about 19.5856412953.

Subtracting from 7513 its reverse (3157), we obtain a square (4356 = 66²).

It can be divided in two parts, 75 and 13, that added together give a palindrome (88).

The spelling of 7513 in words is "seven thousand, five hundred thirteen".