5117533344 has 756 divisors, whose sum is σ = 19836763002. Its totient is φ = 1293304320.

The previous prime is 5117533339. The next prime is 5117533361. The reversal of 5117533344 is 4433357115.

5117533344 is a `hidden beast` number, since 5 + 117 + 533 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3388636944 + 1728896400 = 58212^2 + 41580^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-3 number, since 3×5117533344³ (a number of 30 digits) contains 333 as substring.

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

Its product of digits (75600) is a multiple of the sum of its prime divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 5117533299 and 5117533308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 138311694 + ... + 138311730.

Almost surely, 2^5117533344 is an apocalyptic number.

5117533344 is a gapful number since it is divisible by the number (54) 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 5117533344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9918381501).

5117533344 is an abundant number, since it is smaller than the sum of its proper divisors (14719229658).

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

5117533344 is a wasteful number, since it uses less digits than its factorization.

5117533344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 5117533344 is about 71536.9369207265. The cubic root of 5117533344 is about 1723.2709237497.

The spelling of 5117533344 in words is "five billion, one hundred seventeen million, five hundred thirty-three thousand, three hundred forty-four".