18505435241 has 2 divisors, whose sum is σ = 18505435242. Its totient is φ = 18505435240.

The previous prime is 18505435199. The next prime is 18505435283. The reversal of 18505435241 is 14253450581.

It is a balanced prime because it is at equal distance from previous prime (18505435199) and next prime (18505435283).

It can be written as a sum of positive squares in only one way, i.e., 17099485225 + 1405950016 = 130765^2 + 37496^2 .

It is a cyclic number.

It is not a de Polignac number, because 18505435241 - 2¹⁰ = 18505434217 is a prime.

It is a super-2 number, since 2×18505435241² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18505435195 and 18505435204.

It is not a weakly prime, because it can be changed into another prime (18505435141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9252717620 + 9252717621.

It is an arithmetic number, because the mean of its divisors is an integer number (9252717621).

Almost surely, 2^18505435241 is an apocalyptic number.

It is an amenable number.

18505435241 is a deficient number, since it is larger than the sum of its proper divisors (1).

18505435241 is an equidigital number, since it uses as much as digits as its factorization.

18505435241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96000, while the sum is 38.

The spelling of 18505435241 in words is "eighteen billion, five hundred five million, four hundred thirty-five thousand, two hundred forty-one".