5133004800 has 936 divisors, whose sum is σ = 22231291392. Its totient is φ = 1032192000.

The previous prime is 5133004781. The next prime is 5133004813. The reversal of 5133004800 is 84003315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 165580785 + ... + 165580815.

Almost surely, 2^5133004800 is an apocalyptic number.

5133004800 is a gapful number since it is divisible by the number (50) 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 5133004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11115645696).

5133004800 is an abundant number, since it is smaller than the sum of its proper divisors (17098286592).

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

5133004800 is a wasteful number, since it uses less digits than its factorization.

5133004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5133004800 is about 71644.9914509033. The cubic root of 5133004800 is about 1725.0057886804.

The spelling of 5133004800 in words is "five billion, one hundred thirty-three million, four thousand, eight hundred".