205006541 has 2 divisors, whose sum is σ = 205006542. Its totient is φ = 205006540.

The previous prime is 205006531. The next prime is 205006547. The reversal of 205006541 is 145600502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178329316 + 26677225 = 13354^2 + 5165^2 .

It is a cyclic number.

It is not a de Polignac number, because 205006541 - 2¹⁴ = 204990157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205006547) 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, 102503270 + 102503271.

It is an arithmetic number, because the mean of its divisors is an integer number (102503271).

Almost surely, 2^205006541 is an apocalyptic number.

It is an amenable number.

205006541 is a deficient number, since it is larger than the sum of its proper divisors (1).

205006541 is an equidigital number, since it uses as much as digits as its factorization.

205006541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 205006541 is about 14318.0494830825. The cubic root of 205006541 is about 589.6431251737.

The spelling of 205006541 in words is "two hundred five million, six thousand, five hundred forty-one".