205402412233 has 2 divisors, whose sum is σ = 205402412234. Its totient is φ = 205402412232.

The previous prime is 205402412227. The next prime is 205402412317. The reversal of 205402412233 is 332214204502.

205402412233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178229197584 + 27173214649 = 422172^2 + 164843^2 .

It is a cyclic number.

It is not a de Polignac number, because 205402412233 - 2²⁵ = 205368857801 is a prime.

It is a super-3 number, since 3×205402412233³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (205402410233) 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, 102701206116 + 102701206117.

It is an arithmetic number, because the mean of its divisors is an integer number (102701206117).

Almost surely, 2^205402412233 is an apocalyptic number.

It is an amenable number.

205402412233 is a deficient number, since it is larger than the sum of its proper divisors (1).

205402412233 is an equidigital number, since it uses as much as digits as its factorization.

205402412233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 205402412233 its reverse (332214204502), we get a palindrome (537616616735).

The spelling of 205402412233 in words is "two hundred five billion, four hundred two million, four hundred twelve thousand, two hundred thirty-three".