206566211316001 has 2 divisors, whose sum is σ = 206566211316002. Its totient is φ = 206566211316000.

The previous prime is 206566211315999. The next prime is 206566211316037. The reversal of 206566211316001 is 100613112665602.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154766537870400 + 51799673445601 = 12440520^2 + 7197199^2 .

It is a cyclic number.

It is not a de Polignac number, because 206566211316001 - 2¹ = 206566211315999 is a prime.

Together with 206566211315999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (206566211316071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103283105658000 + 103283105658001.

It is an arithmetic number, because the mean of its divisors is an integer number (103283105658001).

Almost surely, 2^{206566211316001} is an apocalyptic number.

It is an amenable number.

206566211316001 is a deficient number, since it is larger than the sum of its proper divisors (1).

206566211316001 is an equidigital number, since it uses as much as digits as its factorization.

206566211316001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 206566211316001 in words is "two hundred six trillion, five hundred sixty-six billion, two hundred eleven million, three hundred sixteen thousand, one".