23513 has 4 divisors (see below), whose sum is σ = 26880. Its totient is φ = 20148.

The previous prime is 23509. The next prime is 23531. The reversal of 23513 is 31532.

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 23513 - 2² = 23509 is a prime.

It is a super-2 number, since 2×23513² = 1105722338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23563) 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, 1673 + ... + 1686.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2²³⁵¹³ is an apocalyptic number.

It is an amenable number.

23513 is a deficient number, since it is larger than the sum of its proper divisors (3367).

23513 is an equidigital number, since it uses as much as digits as its factorization.

23513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366.

The product of its digits is 90, while the sum is 14.

The square root of 23513 is about 153.3394926299. The cubic root of 23513 is about 28.6485523443.

The spelling of 23513 in words is "twenty-three thousand, five hundred thirteen".