205536196321 has 9 divisors (see below), whose sum is σ = 211258606041. Its totient is φ = 199964842992.

The previous prime is 205536196297. The next prime is 205536196339. The reversal of 205536196321 is 123691635502.

The square root of 205536196321 is 453361.

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 37698493921 + 167837702400 = 194161^2 + 409680^2 .

It is not a de Polignac number, because 205536196321 - 2³¹ = 203388712673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205536196351) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16768231 + ... + 16780483.

It is an arithmetic number, because the mean of its divisors is an integer number (23473178449).

Almost surely, 2^205536196321 is an apocalyptic number.

205536196321 is the 453361-st square number.

205536196321 is the 226681-st centered octagonal number.

It is an amenable number.

205536196321 is a deficient number, since it is larger than the sum of its proper divisors (5722409720).

205536196321 is an frugal number, since it uses more digits than its factorization.

205536196321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24580 (or 12290 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 43.

The spelling of 205536196321 in words is "two hundred five billion, five hundred thirty-six million, one hundred ninety-six thousand, three hundred twenty-one".