5282801100 has 144 divisors (see below), whose sum is σ = 17198899200. Its totient is φ = 1390858560.

The previous prime is 5282801071. The next prime is 5282801141. The reversal of 5282801100 is 11082825.

5282801100 is a `hidden beast` number, since 528 + 28 + 0 + 110 + 0 = 666.

It is a super-2 number, since 2×5282801100² = 55815974924322420000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200917 + ... + 225683.

It is an arithmetic number, because the mean of its divisors is an integer number (119436800).

Almost surely, 2^5282801100 is an apocalyptic number.

5282801100 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 5282801100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8599449600).

5282801100 is an abundant number, since it is smaller than the sum of its proper divisors (11916098100).

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

5282801100 is a wasteful number, since it uses less digits than its factorization.

5282801100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24869 (or 24856 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 5282801100 is about 72682.8803777066. The cubic root of 5282801100 is about 1741.6254133780.

Adding to 5282801100 its reverse (11082825), we get a palindrome (5293883925).

The spelling of 5282801100 in words is "five billion, two hundred eighty-two million, eight hundred one thousand, one hundred".