2013535872 has 96 divisors (see below), whose sum is σ = 5803676580. Its totient is φ = 670076928.

The previous prime is 2013535829. The next prime is 2013535919. The reversal of 2013535872 is 2785353102.

It is a happy number.

2013535872 is a `hidden beast` number, since 20 + 1 + 3 + 53 + 587 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1827049536 + 186486336 = 42744^2 + 13656^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1009308 + ... + 1011300.

Almost surely, 2^2013535872 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 2013535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901838290).

2013535872 is an abundant number, since it is smaller than the sum of its proper divisors (3790140708).

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

2013535872 is a wasteful number, since it uses less digits than its factorization.

2013535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2013535872 is about 44872.4400049741. The cubic root of 2013535872 is about 1262.7570166146.

Adding to 2013535872 its reverse (2785353102), we get a palindrome (4798888974).

The spelling of 2013535872 in words is "two billion, thirteen million, five hundred thirty-five thousand, eight hundred seventy-two".