5812487028100 has 81 divisors (see below), whose sum is σ = 13312932551247. Its totient is φ = 2202453077760.

The previous prime is 5812487028083. The next prime is 5812487028109. The reversal of 5812487028100 is 18207842185.

The square root of 5812487028100 is 2410910.

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 1781354686276 + 4031132341824 = 1334674^2 + 2007768^2 .

It is a super-2 number, since 2×5812487028100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5812487028109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 458066556 + ... + 458079244.

Almost surely, 2^{5812487028100} is an apocalyptic number.

5812487028100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5812487028100 is the 2410910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5812487028100

5812487028100 is an abundant number, since it is smaller than the sum of its proper divisors (7500445523147).

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

5812487028100 is an equidigital number, since it uses as much as digits as its factorization.

5812487028100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25430 (or 12715 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

It can be divided in two parts, 58124 and 87028100, that added together give a square (87086224 = 9332²).

The spelling of 5812487028100 in words is "five trillion, eight hundred twelve billion, four hundred eighty-seven million, twenty-eight thousand, one hundred".