5164505136 has 480 divisors, whose sum is σ = 18320256000. Its totient is φ = 1386588672.

The previous prime is 5164505131. The next prime is 5164505147. The reversal of 5164505136 is 6315054615.

5164505136 is a `hidden beast` number, since 5 + 1 + 645 + 0 + 5 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×5164505136² = 53344226599540756992, which contains 22 as substring.

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 5164505136.

It is not an unprimeable number, because it can be changed into a prime (5164505131) 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 95 ways as a sum of consecutive naturals, for example, 28851895 + ... + 28852073.

It is an arithmetic number, because the mean of its divisors is an integer number (38167200).

Almost surely, 2^5164505136 is an apocalyptic number.

5164505136 is a gapful number since it is divisible by the number (56) 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 5164505136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160128000).

5164505136 is an abundant number, since it is smaller than the sum of its proper divisors (13155750864).

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

5164505136 is a wasteful number, since it uses less digits than its factorization.

5164505136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5164505136 is about 71864.4914822334. The cubic root of 5164505136 is about 1728.5272792911.

The spelling of 5164505136 in words is "five billion, one hundred sixty-four million, five hundred five thousand, one hundred thirty-six".