205138826454941 has 2 divisors, whose sum is σ = 205138826454942. Its totient is φ = 205138826454940.

The previous prime is 205138826454869. The next prime is 205138826455037. The reversal of 205138826454941 is 149454628831502.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150067155036100 + 55071671418841 = 12250190^2 + 7421029^2 .

It is a cyclic number.

It is not a de Polignac number, because 205138826454941 - 2¹⁰ = 205138826453917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205138826414941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102569413227470 + 102569413227471.

It is an arithmetic number, because the mean of its divisors is an integer number (102569413227471).

Almost surely, 2^{205138826454941} is an apocalyptic number.

It is an amenable number.

205138826454941 is a deficient number, since it is larger than the sum of its proper divisors (1).

205138826454941 is an equidigital number, since it uses as much as digits as its factorization.

205138826454941 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 66355200, while the sum is 62.

The spelling of 205138826454941 in words is "two hundred five trillion, one hundred thirty-eight billion, eight hundred twenty-six million, four hundred fifty-four thousand, nine hundred forty-one".