5165963264 has 384 divisors, whose sum is σ = 14265538560. Its totient is φ = 1808793600.

The previous prime is 5165963261. The next prime is 5165963267. The reversal of 5165963264 is 4623695615.

It is an interprime number because it is at equal distance from previous prime (5165963261) and next prime (5165963267).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5165963261) 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 31 ways as a sum of consecutive naturals, for example, 109914089 + ... + 109914135.

It is an arithmetic number, because the mean of its divisors is an integer number (37149840).

Almost surely, 2^5165963264 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 5165963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132769280).

5165963264 is an abundant number, since it is smaller than the sum of its proper divisors (9099575296).

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

5165963264 is a wasteful number, since it uses less digits than its factorization.

5165963264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 47.

The square root of 5165963264 is about 71874.6357486422. The cubic root of 5165963264 is about 1728.6899393972.

The spelling of 5165963264 in words is "five billion, one hundred sixty-five million, nine hundred sixty-three thousand, two hundred sixty-four".