209596008359761 has 9 divisors (see below), whose sum is σ = 210343359058011. Its totient is φ = 208851303786552.

The previous prime is 209596008359707. The next prime is 209596008359819. The reversal of 209596008359761 is 167953800695902.

The square root of 209596008359761 is 14477431.

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., 208270645612225 + 1325362747536 = 14431585^2 + 1151244^2 .

It is not a de Polignac number, because 209596008359761 - 2¹⁷ = 209596008228689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209596008359261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4097087395 + ... + 4097138551.

It is an arithmetic number, because the mean of its divisors is an integer number (23371484339779).

Almost surely, 2^{209596008359761} is an apocalyptic number.

209596008359761 is the 14477431-st square number.

209596008359761 is the 7238716-th centered octagonal number.

It is an amenable number.

209596008359761 is a deficient number, since it is larger than the sum of its proper divisors (747350698250).

209596008359761 is an frugal number, since it uses more digits than its factorization.

209596008359761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102880 (or 51440 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 70.

The spelling of 209596008359761 in words is "two hundred nine trillion, five hundred ninety-six billion, eight million, three hundred fifty-nine thousand, seven hundred sixty-one".