506559592900 has 81 divisors (see below), whose sum is σ = 1111618814733. Its totient is φ = 200366229600.

The previous prime is 506559592841. The next prime is 506559592909. The reversal of 506559592900 is 9295955605.

It is a happy number.

The square root of 506559592900 is 711730.

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., 182361453444 + 324198139456 = 427038^2 + 569384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506559592909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 733081555 + ... + 733082245.

Almost surely, 2^506559592900 is an apocalyptic number.

506559592900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506559592900 is the 711730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506559592900

506559592900 is an abundant number, since it is smaller than the sum of its proper divisors (605059221833).

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

506559592900 is an equidigital number, since it uses as much as digits as its factorization.

506559592900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 5467500, while the sum is 55.

The spelling of 506559592900 in words is "five hundred six billion, five hundred fifty-nine million, five hundred ninety-two thousand, nine hundred".