13503520 has 48 divisors (see below), whose sum is σ = 32778648. Its totient is φ = 5253120.

The previous prime is 13503493. The next prime is 13503521. The reversal of 13503520 is 2530531.

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 456976 = 3612^2 + 676^2 .

It is not an unprimeable number, because it can be changed into a prime (13503521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4780 + ... + 7060.

Almost surely, 2^13503520 is an apocalyptic number.

13503520 is a gapful number since it is divisible by the number (10) 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 13503520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389324).

13503520 is an abundant number, since it is smaller than the sum of its proper divisors (19275128).

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

13503520 is a wasteful number, since it uses less digits than its factorization.

13503520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 13503520 is about 3674.7135942819. The cubic root of 13503520 is about 238.1308510031.

The spelling of 13503520 in words is "thirteen million, five hundred three thousand, five hundred twenty".