13008523 has 4 divisors (see below), whose sum is σ = 14191128. Its totient is φ = 11825920.

The previous prime is 13008517. The next prime is 13008539. The reversal of 13008523 is 32580031.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 32580031 = 11 ⋅2961821.

It is a cyclic number.

It is not a de Polignac number, because 13008523 - 2¹³ = 13000331 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13008494 and 13008503.

It is not an unprimeable number, because it can be changed into a prime (13008503) 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, 591286 + ... + 591307.

It is an arithmetic number, because the mean of its divisors is an integer number (3547782).

Almost surely, 2^13008523 is an apocalyptic number.

13008523 is a deficient number, since it is larger than the sum of its proper divisors (1182605).

13008523 is a wasteful number, since it uses less digits than its factorization.

13008523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182604.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 13008523 is about 3606.7330092481. The cubic root of 13008523 is about 235.1848432529.

Adding to 13008523 its reverse (32580031), we get a palindrome (45588554).

It can be divided in two parts, 13008 and 523, that added together give a palindrome (13531).

The spelling of 13008523 in words is "thirteen million, eight thousand, five hundred twenty-three".