13523104 has 48 divisors (see below), whose sum is σ = 30881088. Its totient is φ = 5709312.

The previous prime is 13523089. The next prime is 13523119. The reversal of 13523104 is 40132531.

It is an interprime number because it is at equal distance from previous prime (13523089) and next prime (13523119).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15939 + ... + 16765.

It is an arithmetic number, because the mean of its divisors is an integer number (643356).

Almost surely, 2^13523104 is an apocalyptic number.

13523104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13523104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440544).

13523104 is an abundant number, since it is smaller than the sum of its proper divisors (17357984).

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

13523104 is an equidigital number, since it uses as much as digits as its factorization.

13523104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13523104 is about 3677.3773263020. The cubic root of 13523104 is about 238.2459148754.

Adding to 13523104 its reverse (40132531), we get a palindrome (53655635).

The spelling of 13523104 in words is "thirteen million, five hundred twenty-three thousand, one hundred four".