2013253041888 has 288 divisors, whose sum is σ = 6473780651520. Its totient is φ = 588181524480.

The previous prime is 2013253041887. The next prime is 2013253041893. The reversal of 2013253041888 is 8881403523102.

2013253041888 is a `hidden beast` number, since 2 + 0 + 1 + 32 + 530 + 4 + 1 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013253041887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9875128 + ... + 10076936.

It is an arithmetic number, because the mean of its divisors is an integer number (22478405040).

Almost surely, 2^{2013253041888} 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 2013253041888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236890325760).

2013253041888 is an abundant number, since it is smaller than the sum of its proper divisors (4460527609632).

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

2013253041888 is a wasteful number, since it uses less digits than its factorization.

2013253041888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201950 (or 201939 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2013253041888 in words is "two trillion, thirteen billion, two hundred fifty-three million, forty-one thousand, eight hundred eighty-eight".