5103384832 has 288 divisors, whose sum is σ = 13186252800. Its totient is φ = 1917886464.

The previous prime is 5103384817. The next prime is 5103384833. The reversal of 5103384832 is 2384833015.

It is a junction number, because it is equal to n+sod(n) for n = 5103384791 and 5103384800.

It is not an unprimeable number, because it can be changed into a prime (5103384833) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 64599769 + ... + 64599847.

It is an arithmetic number, because the mean of its divisors is an integer number (45785600).

Almost surely, 2^5103384832 is an apocalyptic number.

5103384832 is a gapful number since it is divisible by the number (52) 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 5103384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593126400).

5103384832 is an abundant number, since it is smaller than the sum of its proper divisors (8082867968).

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

5103384832 is a wasteful number, since it uses less digits than its factorization.

5103384832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 5103384832 is about 71437.9789187796. The cubic root of 5103384832 is about 1721.6813413105.

The spelling of 5103384832 in words is "five billion, one hundred three million, three hundred eighty-four thousand, eight hundred thirty-two".