5105783328282 has 192 divisors, whose sum is σ = 13664851200000. Its totient is φ = 1341700827264.

The previous prime is 5105783328263. The next prime is 5105783328301. The reversal of 5105783328282 is 2828233875015.

5105783328282 is a `hidden beast` number, since 5 + 10 + 578 + 3 + 32 + 8 + 28 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5105783328263) and next prime (5105783328301).

It is a super-3 number, since 3×5105783328282³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 538636819 + ... + 538646297.

It is an arithmetic number, because the mean of its divisors is an integer number (71171100000).

Almost surely, 2^{5105783328282} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105783328282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832425600000).

5105783328282 is an abundant number, since it is smaller than the sum of its proper divisors (8559067871718).

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

5105783328282 is a wasteful number, since it uses less digits than its factorization.

5105783328282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10665 (or 10662 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

It can be divided in two parts, 5105 and 783328282, that added together give a palindrome (783333387).

The spelling of 5105783328282 in words is "five trillion, one hundred five billion, seven hundred eighty-three million, three hundred twenty-eight thousand, two hundred eighty-two".