13613523 has 24 divisors (see below), whose sum is σ = 23037120. Its totient is φ = 7071120.

The previous prime is 13613513. The next prime is 13613531. The reversal of 13613523 is 32531631.

It is a happy number.

It is not a de Polignac number, because 13613523 - 2⁴ = 13613507 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13613493 and 13613502.

It is not an unprimeable number, because it can be changed into a prime (13613513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2593 + ... + 5826.

It is an arithmetic number, because the mean of its divisors is an integer number (959880).

Almost surely, 2^13613523 is an apocalyptic number.

13613523 is a deficient number, since it is larger than the sum of its proper divisors (9423597).

13613523 is a wasteful number, since it uses less digits than its factorization.

13613523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8447 (or 8440 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 13613523 is about 3689.6507964847. The cubic root of 13613523 is about 238.7757272423.

It can be divided in two parts, 1361 and 3523, that added together give a palindrome (4884).

The spelling of 13613523 in words is "thirteen million, six hundred thirteen thousand, five hundred twenty-three".