405585009601 has 2 divisors, whose sum is σ = 405585009602. Its totient is φ = 405585009600.

The previous prime is 405585009559. The next prime is 405585009667. The reversal of 405585009601 is 106900585504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 354499969201 + 51085040400 = 595399^2 + 226020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405585009601 is a prime.

It is not a weakly prime, because it can be changed into another prime (405585009671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202792504800 + 202792504801.

It is an arithmetic number, because the mean of its divisors is an integer number (202792504801).

Almost surely, 2^405585009601 is an apocalyptic number.

It is an amenable number.

405585009601 is a deficient number, since it is larger than the sum of its proper divisors (1).

405585009601 is an equidigital number, since it uses as much as digits as its factorization.

405585009601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216000, while the sum is 43.

The spelling of 405585009601 in words is "four hundred five billion, five hundred eighty-five million, nine thousand, six hundred one".