508240668100 has 81 divisors (see below), whose sum is σ = 1212446078823. Its totient is φ = 184786272000.

The previous prime is 508240668059. The next prime is 508240668179. The reversal of 508240668100 is 1866042805.

The square root of 508240668100 is 712910.

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 84293831556 + 423946836544 = 290334^2 + 651112^2 .

It is a super-2 number, since 2×508240668100² (a number of 24 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, 78416860 + ... + 78423340.

Almost surely, 2^508240668100 is an apocalyptic number.

508240668100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

508240668100 is the 712910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508240668100

508240668100 is an abundant number, since it is smaller than the sum of its proper divisors (704205410723).

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

508240668100 is an equidigital number, since it uses as much as digits as its factorization.

508240668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 508240668100 in words is "five hundred eight billion, two hundred forty million, six hundred sixty-eight thousand, one hundred".