13523 has 2 divisors, whose sum is σ = 13524. Its totient is φ = 13522.

The previous prime is 13513. The next prime is 13537. The reversal of 13523 is 32531.

13523 is nontrivially palindromic in base 8.

13523 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is an a-pointer prime, because the next prime (13537) can be obtained adding 13523 to its sum of digits (14).

It is a weak prime.

It is an emirp because it is prime and its reverse (32531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13523 - 2⁸ = 13267 is a prime.

13523 is an undulating number in base 8.

It is a plaindrome in base 12 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 13498 and 13507.

It is not a weakly prime, because it can be changed into another prime (13513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6761 + 6762.

It is an arithmetic number, because the mean of its divisors is an integer number (6762).

2¹³⁵²³ is an apocalyptic number.

13523 is a deficient number, since it is larger than the sum of its proper divisors (1).

13523 is an equidigital number, since it uses as much as digits as its factorization.

13523 is an evil number, because the sum of its binary digits is even.

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

The square root of 13523 is about 116.2884345066. The cubic root of 13523 is about 23.8245304127.

The spelling of 13523 in words is "thirteen thousand, five hundred twenty-three".