199582882009 has 27 divisors (see below), whose sum is σ = 245103295797. Its totient is φ = 162019054008.

The previous prime is 199582881991. The next prime is 199582882043. The reversal of 199582882009 is 900288285991.

It is a happy number.

The square root of 199582882009 is 446747.

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

It is not a de Polignac number, because 199582882009 - 2⁹ = 199582881497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (199582885009) by changing a digit.

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, 59415672 + ... + 59419030.

Almost surely, 2^199582882009 is an apocalyptic number.

199582882009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

199582882009 is the 446747-th square number.

199582882009 is the 223374-th centered octagonal number.

It is an amenable number.

199582882009 is a deficient number, since it is larger than the sum of its proper divisors (45520413788).

199582882009 is an frugal number, since it uses more digits than its factorization.

199582882009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 61.

The spelling of 199582882009 in words is "one hundred ninety-nine billion, five hundred eighty-two million, eight hundred eighty-two thousand, nine".