13523004 has 48 divisors (see below), whose sum is σ = 38250240. Its totient is φ = 4097520.

The previous prime is 13522987. The next prime is 13523009. The reversal of 13523004 is 40032531.

13523004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13523009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4504 + ... + 6879.

It is an arithmetic number, because the mean of its divisors is an integer number (796880).

Almost surely, 2^13523004 is an apocalyptic number.

It is an amenable number.

13523004 is an abundant number, since it is smaller than the sum of its proper divisors (24727236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13523004 is a wasteful number, since it uses less digits than its factorization.

13523004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11407 (or 11399 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13523004 is about 3677.3637296302. The cubic root of 13523004 is about 238.2453276174.

Adding to 13523004 its reverse (40032531), we get a palindrome (53555535).

It can be divided in two parts, 1352 and 3004, that added together give a square (4356 = 66²).

The spelling of 13523004 in words is "thirteen million, five hundred twenty-three thousand, four".