205206329241 has 12 divisors (see below), whose sum is σ = 296557893268. Its totient is φ = 136735565184.

The previous prime is 205206329203. The next prime is 205206329267. The reversal of 205206329241 is 142923602502.

205206329241 is a `hidden beast` number, since 2 + 0 + 520 + 6 + 3 + 2 + 92 + 41 = 666.

205206329241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 65607699600 + 139598629641 = 256140^2 + 373629^2 .

It is not a de Polignac number, because 205206329241 - 2¹³ = 205206321049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205206329196 and 205206329205.

It is not an unprimeable number, because it can be changed into a prime (205206329201) 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 in 11 ways as a sum of consecutive naturals, for example, 5702260 + ... + 5738133.

Almost surely, 2^205206329241 is an apocalyptic number.

It is an amenable number.

205206329241 is a deficient number, since it is larger than the sum of its proper divisors (91351564027).

205206329241 is a wasteful number, since it uses less digits than its factorization.

205206329241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11442392 (or 11442389 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 205206329241 in words is "two hundred five billion, two hundred six million, three hundred twenty-nine thousand, two hundred forty-one".