5133037968 has 120 divisors (see below), whose sum is σ = 15058723680. Its totient is φ = 1630379520.

The previous prime is 5133037957. The next prime is 5133037991. The reversal of 5133037968 is 8697303315.

5133037968 is a `hidden beast` number, since 513 + 3 + 0 + 3 + 79 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243763 + ... + 263981.

It is an arithmetic number, because the mean of its divisors is an integer number (125489364).

Almost surely, 2^5133037968 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 5133037968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529361840).

5133037968 is an abundant number, since it is smaller than the sum of its proper divisors (9925685712).

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

5133037968 is a wasteful number, since it uses less digits than its factorization.

5133037968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20317 (or 20308 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 5133037968 is about 71645.2229251888. Note that the first 3 decimals coincide. The cubic root of 5133037968 is about 1725.0095041694.

It can be divided in two parts, 51330 and 37968, that added together give a palindrome (89298).

The spelling of 5133037968 in words is "five billion, one hundred thirty-three million, thirty-seven thousand, nine hundred sixty-eight".