206505117001 has 2 divisors, whose sum is σ = 206505117002. Its totient is φ = 206505117000.

The previous prime is 206505116977. The next prime is 206505117031. The reversal of 206505117001 is 100711505602.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163558771776 + 42946345225 = 404424^2 + 207235^2 .

It is a cyclic number.

It is not a de Polignac number, because 206505117001 - 2⁵ = 206505116969 is a prime.

It is not a weakly prime, because it can be changed into another prime (206505117031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103252558500 + 103252558501.

It is an arithmetic number, because the mean of its divisors is an integer number (103252558501).

Almost surely, 2^206505117001 is an apocalyptic number.

It is an amenable number.

206505117001 is a deficient number, since it is larger than the sum of its proper divisors (1).

206505117001 is an equidigital number, since it uses as much as digits as its factorization.

206505117001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 206505117001 in words is "two hundred six billion, five hundred five million, one hundred seventeen thousand, one".