5289508224 has 768 divisors, whose sum is σ = 21271488000. Its totient is φ = 1259089920.

The previous prime is 5289508223. The next prime is 5289508267. The reversal of 5289508224 is 4228059825.

It is a self number, because there is not a number n which added to its sum of digits gives 5289508224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5289508223) 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 95 ways as a sum of consecutive naturals, for example, 38053947 + ... + 38054085.

It is an arithmetic number, because the mean of its divisors is an integer number (27697250).

Almost surely, 2^5289508224 is an apocalyptic number.

5289508224 is a gapful number since it is divisible by the number (54) 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 5289508224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635744000).

5289508224 is an abundant number, since it is smaller than the sum of its proper divisors (15981979776).

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

5289508224 is a wasteful number, since it uses less digits than its factorization.

5289508224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5289508224 is about 72729.0053829970. The cubic root of 5289508224 is about 1742.3621663043.

The spelling of 5289508224 in words is "five billion, two hundred eighty-nine million, five hundred eight thousand, two hundred twenty-four".