5281135200 has 720 divisors, whose sum is σ = 21778606080. Its totient is φ = 1233792000.

The previous prime is 5281135193. The next prime is 5281135229. The reversal of 5281135200 is 25311825.

It is a happy number.

5281135200 is a `hidden beast` number, since 5 + 28 + 113 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 22096681 + ... + 22096919.

It is an arithmetic number, because the mean of its divisors is an integer number (30248064).

Almost surely, 2^5281135200 is an apocalyptic number.

5281135200 is a gapful number since it is divisible by the number (50) 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 5281135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889303040).

5281135200 is an abundant number, since it is smaller than the sum of its proper divisors (16497470880).

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

5281135200 is a wasteful number, since it uses less digits than its factorization.

5281135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5281135200 is about 72671.4194164391. The cubic root of 5281135200 is about 1741.4423237158.

The spelling of 5281135200 in words is "five billion, two hundred eighty-one million, one hundred thirty-five thousand, two hundred".