5259772224 has 168 divisors, whose sum is σ = 17824460160. Its totient is φ = 1450939392.

The previous prime is 5259772211. The next prime is 5259772237. The reversal of 5259772224 is 4222779525.

5259772224 is a `hidden beast` number, since 52 + 597 + 7 + 2 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5259772211) and next prime (5259772237).

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 5259772224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94437 + ... + 139419.

Almost surely, 2^5259772224 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 5259772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8912230080).

5259772224 is an abundant number, since it is smaller than the sum of its proper divisors (12564687936).

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

5259772224 is a wasteful number, since it uses less digits than its factorization.

5259772224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45037 (or 45024 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 5259772224 is about 72524.2871319670. The cubic root of 5259772224 is about 1739.0910194818.

The spelling of 5259772224 in words is "five billion, two hundred fifty-nine million, seven hundred seventy-two thousand, two hundred twenty-four".