4871334552100 has 81 divisors (see below), whose sum is σ = 11230049635987. Its totient is φ = 1833772929280.

The previous prime is 4871334552053. The next prime is 4871334552113. The reversal of 4871334552100 is 12554331784.

It is a happy number.

The square root of 4871334552100 is 2207110.

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 113945403364 + 4757389148736 = 337558^2 + 2181144^2 .

It is a super-2 number, since 2×4871334552100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 375202209 + ... + 375215191.

Almost surely, 2^{4871334552100} is an apocalyptic number.

4871334552100 is the 2207110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4871334552100

4871334552100 is an abundant number, since it is smaller than the sum of its proper divisors (6358715083887).

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

4871334552100 is an equidigital number, since it uses as much as digits as its factorization.

4871334552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26014 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

Adding to 4871334552100 its reverse (12554331784), we get a palindrome (4883888883884).

The spelling of 4871334552100 in words is "four trillion, eight hundred seventy-one billion, three hundred thirty-four million, five hundred fifty-two thousand, one hundred".