5271625800 has 720 divisors, whose sum is σ = 22129024500. Its totient is φ = 1158312960.

The previous prime is 5271625789. The next prime is 5271625813. The reversal of 5271625800 is 85261725.

It is a happy number.

5271625800 is a `hidden beast` number, since 5 + 2 + 71 + 6 + 2 + 580 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3315686724 + 1955939076 = 57582^2 + 44226^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 23020086 + ... + 23020314.

Almost surely, 2^5271625800 is an apocalyptic number.

5271625800 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 5271625800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064512250).

5271625800 is an abundant number, since it is smaller than the sum of its proper divisors (16857398700).

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

5271625800 is a wasteful number, since it uses less digits than its factorization.

5271625800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5271625800 is about 72605.9625650676. The cubic root of 5271625800 is about 1740.3964613830.

The spelling of 5271625800 in words is "five billion, two hundred seventy-one million, six hundred twenty-five thousand, eight hundred".