205114541 has 2 divisors, whose sum is σ = 205114542. Its totient is φ = 205114540.

The previous prime is 205114531. The next prime is 205114543. The reversal of 205114541 is 145411502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167598916 + 37515625 = 12946^2 + 6125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205114541 is a prime.

Together with 205114543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205114543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102557270 + 102557271.

It is an arithmetic number, because the mean of its divisors is an integer number (102557271).

Almost surely, 2^205114541 is an apocalyptic number.

It is an amenable number.

205114541 is a deficient number, since it is larger than the sum of its proper divisors (1).

205114541 is an equidigital number, since it uses as much as digits as its factorization.

205114541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 205114541 is about 14321.8204499288. The cubic root of 205114541 is about 589.7466507779.

It can be divided in two parts, 20511 and 4541, that added together give a palindrome (25052).

The spelling of 205114541 in words is "two hundred five million, one hundred fourteen thousand, five hundred forty-one".