22511 has 2 divisors, whose sum is σ = 22512. Its totient is φ = 22510.

The previous prime is 22501. The next prime is 22531. The reversal of 22511 is 11522.

It is a m-pointer prime, because the next prime (22531) can be obtained adding 22511 to its product of digits (20).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 22511 - 2⁶ = 22447 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 22492 and 22501.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22511.

It is not a weakly prime, because it can be changed into another prime (22501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11255 + 11256.

It is an arithmetic number, because the mean of its divisors is an integer number (11256).

2²²⁵¹¹ is an apocalyptic number.

22511 is a deficient number, since it is larger than the sum of its proper divisors (1).

22511 is an equidigital number, since it uses as much as digits as its factorization.

22511 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20, while the sum is 11.

The square root of 22511 is about 150.0366621863. The cubic root of 22511 is about 28.2356807375.

Adding to 22511 its sum of digits (11), we get a palindrome (22522).

Subtracting from 22511 its sum of digits (11), we obtain a square (22500 = 150²).

The spelling of 22511 in words is "twenty-two thousand, five hundred eleven".