18409313201 has 2 divisors, whose sum is σ = 18409313202. Its totient is φ = 18409313200.

The previous prime is 18409313149. The next prime is 18409313227. The reversal of 18409313201 is 10231390481.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18265792801 + 143520400 = 135151^2 + 11980^2 .

It is a cyclic number.

It is not a de Polignac number, because 18409313201 - 2¹⁴ = 18409296817 is a prime.

It is not a weakly prime, because it can be changed into another prime (18409313231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9204656600 + 9204656601.

It is an arithmetic number, because the mean of its divisors is an integer number (9204656601).

Almost surely, 2^18409313201 is an apocalyptic number.

It is an amenable number.

18409313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

18409313201 is an equidigital number, since it uses as much as digits as its factorization.

18409313201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 18409313201 in words is "eighteen billion, four hundred nine million, three hundred thirteen thousand, two hundred one".