2013536 has 48 divisors (see below), whose sum is σ = 4626720. Its totient is φ = 844800.

The previous prime is 2013533. The next prime is 2013541. The reversal of 2013536 is 6353102.

2013536 is nontrivially palindromic in base 13.

It is a plaindrome in base 11.

It is a zygodrome in base 11 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013533) 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, 19886 + ... + 19986.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

2^2013536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313360).

2013536 is an abundant number, since it is smaller than the sum of its proper divisors (2613184).

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

2013536 is a wasteful number, since it uses less digits than its factorization.

2013536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 2013536 is about 1418.9911909522. The cubic root of 2013536 is about 126.2757043372.

Adding to 2013536 its reverse (6353102), we get a palindrome (8366638).

The spelling of 2013536 in words is "two million, thirteen thousand, five hundred thirty-six".