5113033328256 has 1536 divisors, whose sum is σ = 17939194675200. Its totient is φ = 1280124518400.

The previous prime is 5113033328251. The next prime is 5113033328257. The reversal of 5113033328256 is 6528233303115.

It is a super-2 number, since 2×5113033328256² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5113033328251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47785358155 + ... + 47785358261.

It is an arithmetic number, because the mean of its divisors is an integer number (11679163200).

Almost surely, 2^{5113033328256} is an apocalyptic number.

5113033328256 is a gapful number since it is divisible by the number (56) 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 5113033328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8969597337600).

5113033328256 is an abundant number, since it is smaller than the sum of its proper divisors (12826161346944).

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

5113033328256 is a wasteful number, since it uses less digits than its factorization.

5113033328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 5113033328256 in words is "five trillion, one hundred thirteen billion, thirty-three million, three hundred twenty-eight thousand, two hundred fifty-six".