205633156241 has 2 divisors, whose sum is σ = 205633156242. Its totient is φ = 205633156240.

The previous prime is 205633156171. The next prime is 205633156273. The reversal of 205633156241 is 142651336502.

205633156241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119079516241 + 86553640000 = 345079^2 + 294200^2 .

It is a cyclic number.

It is not a de Polignac number, because 205633156241 - 2¹⁸ = 205632894097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205633156195 and 205633156204.

It is not a weakly prime, because it can be changed into another prime (205633159241) 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, 102816578120 + 102816578121.

It is an arithmetic number, because the mean of its divisors is an integer number (102816578121).

Almost surely, 2^205633156241 is an apocalyptic number.

It is an amenable number.

205633156241 is a deficient number, since it is larger than the sum of its proper divisors (1).

205633156241 is an equidigital number, since it uses as much as digits as its factorization.

205633156241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 205633156241 in words is "two hundred five billion, six hundred thirty-three million, one hundred fifty-six thousand, two hundred forty-one".