5263288128 has 336 divisors, whose sum is σ = 18852148224. Its totient is φ = 1369128960.

The previous prime is 5263288109. The next prime is 5263288189. The reversal of 5263288128 is 8218823625.

5263288128 is a `hidden beast` number, since 5 + 2 + 632 + 8 + 8 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2123626 + ... + 2126102.

It is an arithmetic number, because the mean of its divisors is an integer number (56107584).

Almost surely, 2^5263288128 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 5263288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9426074112).

5263288128 is an abundant number, since it is smaller than the sum of its proper divisors (13588860096).

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

5263288128 is a wasteful number, since it uses less digits than its factorization.

5263288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2537 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 5263288128 is about 72548.5225762730. The cubic root of 5263288128 is about 1739.4784326565.

The spelling of 5263288128 in words is "five billion, two hundred sixty-three million, two hundred eighty-eight thousand, one hundred twenty-eight".