1605722008193 has 2 divisors, whose sum is σ = 1605722008194. Its totient is φ = 1605722008192.

The previous prime is 1605722008183. The next prime is 1605722008201. The reversal of 1605722008193 is 3918002275061.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1396313265649 + 209408742544 = 1181657^2 + 457612^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1605722008193 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1605722008183) 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, 802861004096 + 802861004097.

It is an arithmetic number, because the mean of its divisors is an integer number (802861004097).

Almost surely, 2^{1605722008193} is an apocalyptic number.

It is an amenable number.

1605722008193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1605722008193 is an equidigital number, since it uses as much as digits as its factorization.

1605722008193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 1605722008193 in words is "one trillion, six hundred five billion, seven hundred twenty-two million, eight thousand, one hundred ninety-three".