2513133756 has 144 divisors (see below), whose sum is σ = 7614835200. Its totient is φ = 714674016.

The previous prime is 2513133703. The next prime is 2513133767. The reversal of 2513133756 is 6573313152.

2513133756 is a `hidden beast` number, since 2 + 513 + 133 + 7 + 5 + 6 = 666.

2513133756 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2513133756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263795 + ... + 1265781.

It is an arithmetic number, because the mean of its divisors is an integer number (52880800).

Almost surely, 2^2513133756 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 2513133756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807417600).

2513133756 is an abundant number, since it is smaller than the sum of its proper divisors (5101701444).

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

2513133756 is a wasteful number, since it uses less digits than its factorization.

2513133756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2238 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 2513133756 is about 50131.1655160739. The cubic root of 2513133756 is about 1359.5813583133.

The spelling of 2513133756 in words is "two billion, five hundred thirteen million, one hundred thirty-three thousand, seven hundred fifty-six".