5182351344 has 240 divisors, whose sum is σ = 15443011584. Its totient is φ = 1620057600.

The previous prime is 5182351331. The next prime is 5182351367. The reversal of 5182351344 is 4431532815.

5182351344 is a `hidden beast` number, since 518 + 2 + 3 + 5 + 134 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5182351299 and 5182351308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26306254 + ... + 26306450.

Almost surely, 2^5182351344 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 5182351344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721505792).

5182351344 is an abundant number, since it is smaller than the sum of its proper divisors (10260660240).

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

5182351344 is a wasteful number, since it uses less digits than its factorization.

5182351344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 387 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5182351344 is about 71988.5500895802. The cubic root of 5182351344 is about 1730.5159947456.

The spelling of 5182351344 in words is "five billion, one hundred eighty-two million, three hundred fifty-one thousand, three hundred forty-four".