5288724252 has 360 divisors, whose sum is σ = 17206635600. Its totient is φ = 1408264704.

The previous prime is 5288724247. The next prime is 5288724253. The reversal of 5288724252 is 2524278825.

5288724252 is a `hidden beast` number, since 528 + 8 + 72 + 4 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5288724198 and 5288724207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288724253) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26846218 + ... + 26846414.

It is an arithmetic number, because the mean of its divisors is an integer number (47796210).

Almost surely, 2^5288724252 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 5288724252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8603317800).

5288724252 is an abundant number, since it is smaller than the sum of its proper divisors (11917911348).

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

5288724252 is a wasteful number, since it uses less digits than its factorization.

5288724252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 5288724252 is about 72723.6155041813. The cubic root of 5288724252 is about 1742.2760820167.

The spelling of 5288724252 in words is "five billion, two hundred eighty-eight million, seven hundred twenty-four thousand, two hundred fifty-two".