5105333376 has 384 divisors, whose sum is σ = 18284797440. Its totient is φ = 1343324160.

The previous prime is 5105333357. The next prime is 5105333377. The reversal of 5105333376 is 6733335015.

5105333376 is a `hidden beast` number, since 51 + 0 + 533 + 3 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 5105333376.

It is not an unprimeable number, because it can be changed into a prime (5105333377) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2799601 + ... + 2801423.

It is an arithmetic number, because the mean of its divisors is an integer number (47616660).

Almost surely, 2^5105333376 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 5105333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142398720).

5105333376 is an abundant number, since it is smaller than the sum of its proper divisors (13179464064).

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

5105333376 is a wasteful number, since it uses less digits than its factorization.

5105333376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 36.

The square root of 5105333376 is about 71451.6156290395. The cubic root of 5105333376 is about 1721.9004341336.

The spelling of 5105333376 in words is "five billion, one hundred five million, three hundred thirty-three thousand, three hundred seventy-six".