52812636100 has 189 divisors, whose sum is σ = 135729192333. Its totient is φ = 17836932960.

The previous prime is 52812636061. The next prime is 52812636103. The reversal of 52812636100 is 163621825.

The square root of 52812636100 is 229810.

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

It can be written as a sum of positive squares in only one way, i.e., 19012548996 + 33800087104 = 137886^2 + 183848^2 .

It is not an unprimeable number, because it can be changed into a prime (52812636103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 788248267 + ... + 788248333.

Almost surely, 2^52812636100 is an apocalyptic number.

52812636100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52812636100 is the 229810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52812636100

52812636100 is an abundant number, since it is smaller than the sum of its proper divisors (82916556233).

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

52812636100 is an frugal number, since it uses more digits than its factorization.

52812636100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 52812636100 in words is "fifty-two billion, eight hundred twelve million, six hundred thirty-six thousand, one hundred".