5275088100 has 216 divisors, whose sum is σ = 17582390280. Its totient is φ = 1322833920.

The previous prime is 5275088089. The next prime is 5275088183. The reversal of 5275088100 is 18805725.

5275088100 is a `hidden beast` number, since 527 + 50 + 8 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1113289956 + 4161798144 = 33366^2 + 64512^2 .

It is a super-2 number, since 2×5275088100² = 55653108925523220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4421104 + ... + 4422296.

It is an arithmetic number, because the mean of its divisors is an integer number (81399955).

Almost surely, 2^5275088100 is an apocalyptic number.

5275088100 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 5275088100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8791195140).

5275088100 is an abundant number, since it is smaller than the sum of its proper divisors (12307302180).

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

5275088100 is a wasteful number, since it uses less digits than its factorization.

5275088100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 5275088100 is about 72629.8017345497. The cubic root of 5275088100 is about 1740.7773973709. Note that the first 3 decimals are identical.

The spelling of 5275088100 in words is "five billion, two hundred seventy-five million, eighty-eight thousand, one hundred".