5105353536 has 280 divisors, whose sum is σ = 15930046880. Its totient is φ = 1614670848.

The previous prime is 5105353507. The next prime is 5105353541. The reversal of 5105353536 is 6353535015.

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 5105353536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8247435 + ... + 8248053.

Almost surely, 2^5105353536 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 5105353536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965023440).

5105353536 is an abundant number, since it is smaller than the sum of its proper divisors (10824693344).

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

5105353536 is a wasteful number, since it uses less digits than its factorization.

5105353536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 36.

The square root of 5105353536 is about 71451.7567033869. The cubic root of 5105353536 is about 1721.9027006175.

The spelling of 5105353536 in words is "five billion, one hundred five million, three hundred fifty-three thousand, five hundred thirty-six".