5325967584 has 432 divisors, whose sum is σ = 18755362080. Its totient is φ = 1426360320.

The previous prime is 5325967579. The next prime is 5325967589. The reversal of 5325967584 is 4857695235.

5325967584 is a `hidden beast` number, since 5 + 3 + 2 + 59 + 6 + 7 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (5325967579) and next prime (5325967589).

It is a self number, because there is not a number n which added to its sum of digits gives 5325967584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5325967589) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 19799002 + ... + 19799270.

It is an arithmetic number, because the mean of its divisors is an integer number (43415190).

Almost surely, 2^5325967584 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 5325967584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377681040).

5325967584 is an abundant number, since it is smaller than the sum of its proper divisors (13429394496).

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

5325967584 is a wasteful number, since it uses less digits than its factorization.

5325967584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 365 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 5325967584 is about 72979.2270718182. The cubic root of 5325967584 is about 1746.3562370705.

The spelling of 5325967584 in words is "five billion, three hundred twenty-five million, nine hundred sixty-seven thousand, five hundred eighty-four".