5133808512 has 768 divisors, whose sum is σ = 19781798400. Its totient is φ = 1289945088.

The previous prime is 5133808507. The next prime is 5133808513. The reversal of 5133808512 is 2158083315.

5133808512 is a `hidden beast` number, since 5 + 133 + 8 + 0 + 8 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133808513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70326108 + ... + 70326180.

It is an arithmetic number, because the mean of its divisors is an integer number (25757550).

Almost surely, 2^5133808512 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 5133808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890899200).

5133808512 is an abundant number, since it is smaller than the sum of its proper divisors (14647989888).

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

5133808512 is a wasteful number, since it uses less digits than its factorization.

5133808512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5133808512 is about 71650.6002207937. The cubic root of 5133808512 is about 1725.0958162278.

The spelling of 5133808512 in words is "five billion, one hundred thirty-three million, eight hundred eight thousand, five hundred twelve".