13513520 has 40 divisors (see below), whose sum is σ = 32438400. Its totient is φ = 5230080.

The previous prime is 13513517. The next prime is 13513531. The reversal of 13513520 is 2531531.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13513492 and 13513501.

It is an unprimeable number.

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, 245 + ... + 5204.

It is an arithmetic number, because the mean of its divisors is an integer number (810960).

Almost surely, 2^13513520 is an apocalyptic number.

13513520 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 13513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219200).

13513520 is an abundant number, since it is smaller than the sum of its proper divisors (18924880).

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

13513520 is a wasteful number, since it uses less digits than its factorization.

13513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 13513520 is about 3676.0739927265. The cubic root of 13513520 is about 238.1896189127.

The spelling of 13513520 in words is "thirteen million, five hundred thirteen thousand, five hundred twenty".