606066605560601 has 2 divisors, whose sum is σ = 606066605560602. Its totient is φ = 606066605560600.

The previous prime is 606066605560597. The next prime is 606066605560609. The reversal of 606066605560601 is 106065506660606.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 596237747280400 + 9828858280201 = 24417980^2 + 3135101^2 .

It is a cyclic number.

It is not a de Polignac number, because 606066605560601 - 2² = 606066605560597 is a prime.

It is a super-3 number, since 3×606066605560601³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (606066605560609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 303033302780300 + 303033302780301.

It is an arithmetic number, because the mean of its divisors is an integer number (303033302780301).

Almost surely, 2^{606066605560601} is an apocalyptic number.

It is an amenable number.

606066605560601 is a deficient number, since it is larger than the sum of its proper divisors (1).

606066605560601 is an equidigital number, since it uses as much as digits as its factorization.

606066605560601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6998400, while the sum is 53.

The spelling of 606066605560601 in words is "six hundred six trillion, sixty-six billion, six hundred five million, five hundred sixty thousand, six hundred one".