18205800601 has 2 divisors, whose sum is σ = 18205800602. Its totient is φ = 18205800600.

The previous prime is 18205800593. The next prime is 18205800607. The reversal of 18205800601 is 10600850281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12855024400 + 5350776201 = 113380^2 + 73149^2 .

It is a cyclic number.

It is not a de Polignac number, because 18205800601 - 2³ = 18205800593 is a prime.

It is a super-2 number, since 2×18205800601² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (18205800607) 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, 9102900300 + 9102900301.

It is an arithmetic number, because the mean of its divisors is an integer number (9102900301).

Almost surely, 2^18205800601 is an apocalyptic number.

It is an amenable number.

18205800601 is a deficient number, since it is larger than the sum of its proper divisors (1).

18205800601 is an equidigital number, since it uses as much as digits as its factorization.

18205800601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 31.

The spelling of 18205800601 in words is "eighteen billion, two hundred five million, eight hundred thousand, six hundred one".