13513536 has 84 divisors (see below), whose sum is σ = 40119300. Its totient is φ = 4343808.

The previous prime is 13513531. The next prime is 13513561. The reversal of 13513536 is 63531531.

It can be written as a sum of positive squares in 2 ways, for example, as 9734400 + 3779136 = 3120^2 + 1944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13513531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16300 + ... + 17108.

Almost surely, 2^13513536 is an apocalyptic number.

13513536 is a gapful number since it is divisible by the number (16) 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 13513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059650).

13513536 is an abundant number, since it is smaller than the sum of its proper divisors (26605764).

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

13513536 is a wasteful number, since it uses less digits than its factorization.

13513536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 843 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 13513536 is about 3676.0761689606. The cubic root of 13513536 is about 238.1897129181.

The spelling of 13513536 in words is "thirteen million, five hundred thirteen thousand, five hundred thirty-six".