13523120 has 40 divisors (see below), whose sum is σ = 33862416. Its totient is φ = 4992768.

The previous prime is 13523119. The next prime is 13523123. The reversal of 13523120 is 2132531.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13523123) 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 7 ways as a sum of consecutive naturals, for example, 5462 + ... + 7541.

Almost surely, 2^13523120 is an apocalyptic number.

13523120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13523120 is an abundant number, since it is smaller than the sum of its proper divisors (20339296).

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

13523120 is a wasteful number, since it uses less digits than its factorization.

13523120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029 (or 13023 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13523120 is about 3677.3795017648. The cubic root of 13523120 is about 238.2460088364.

Adding to 13523120 its reverse (2132531), we get a palindrome (15655651).

The spelling of 13523120 in words is "thirteen million, five hundred twenty-three thousand, one hundred twenty".