22513 has 4 divisors (see below), whose sum is σ = 23040. Its totient is φ = 21988.

The previous prime is 22511. The next prime is 22531. The reversal of 22513 is 31522.

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, and also an emirpimes, since its reverse is a distinct semiprime: 31522 = 2 ⋅15761.

It is a cyclic number.

It is not a de Polignac number, because 22513 - 2¹ = 22511 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22493 and 22502.

It is not an unprimeable number, because it can be changed into a prime (22511) 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, 193 + ... + 286.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2²²⁵¹³ is an apocalyptic number.

It is an amenable number.

22513 is a deficient number, since it is larger than the sum of its proper divisors (527).

22513 is an equidigital number, since it uses as much as digits as its factorization.

22513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526.

The product of its digits is 60, while the sum is 13.

The square root of 22513 is about 150.0433270759. The cubic root of 22513 is about 28.2365169167.

Subtracting from 22513 its sum of digits (13), we obtain a square (22500 = 150²).

Subtracting 22513 from its reverse (31522), we obtain a palindrome (9009).

It can be divided in two parts, 22 and 513, that added together give a palindrome (535).

The spelling of 22513 in words is "twenty-two thousand, five hundred thirteen".