13523112 has 80 divisors (see below), whose sum is σ = 38877300. Its totient is φ = 4389120.

The previous prime is 13523089. The next prime is 13523119. The reversal of 13523112 is 21132531.

13523112 is a `hidden beast` number, since 1 + 352 + 311 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13351716 + 171396 = 3654^2 + 414^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13523119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26314 + ... + 26822.

Almost surely, 2^13523112 is an apocalyptic number.

13523112 is a gapful number since it is divisible by the number (12) 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 13523112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19438650).

13523112 is an abundant number, since it is smaller than the sum of its proper divisors (25354188).

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

13523112 is a wasteful number, since it uses less digits than its factorization.

13523112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13523112 is about 3677.3784140336. The cubic root of 13523112 is about 238.2459618559.

Adding to 13523112 its reverse (21132531), we get a palindrome (34655643).

The spelling of 13523112 in words is "thirteen million, five hundred twenty-three thousand, one hundred twelve".