818532100 has 27 divisors (see below), whose sum is σ = 1776835711. Its totient is φ = 327298400.

The previous prime is 818532097. The next prime is 818532101. The reversal of 818532100 is 1235818.

The square root of 818532100 is 28610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5597956 + 812934144 = 2366^2 + 28512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (818532101) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 284670 + ... + 287530.

Almost surely, 2^818532100 is an apocalyptic number.

818532100 is the 28610-th square number.

It is an amenable number.

818532100 is an abundant number, since it is smaller than the sum of its proper divisors (958303611).

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

818532100 is an equidigital number, since it uses as much as digits as its factorization.

818532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The cubic root of 818532100 is about 935.4313165354.

Adding to 818532100 its reverse (1235818), we get a palindrome (819767918).

The spelling of 818532100 in words is "eight hundred eighteen million, five hundred thirty-two thousand, one hundred".