205011305 has 12 divisors (see below), whose sum is σ = 257178180. Its totient is φ = 156876192.

The previous prime is 205011299. The next prime is 205011319. The reversal of 205011305 is 503110502.

It can be written as a sum of positive squares in 2 ways, for example, as 154828249 + 50183056 = 12443^2 + 7084^2 .

It is not a de Polignac number, because 205011305 - 2¹⁴ = 204994921 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 36110 + ... + 41399.

It is an arithmetic number, because the mean of its divisors is an integer number (21431515).

Almost surely, 2^205011305 is an apocalyptic number.

It is an amenable number.

205011305 is a deficient number, since it is larger than the sum of its proper divisors (52166875).

205011305 is an equidigital number, since it uses as much as digits as its factorization.

205011305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77560 (or 77537 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 205011305 is about 14318.2158455584. The cubic root of 205011305 is about 589.6476925696.

Adding to 205011305 its reverse (503110502), we get a palindrome (708121807).

The spelling of 205011305 in words is "two hundred five million, eleven thousand, three hundred five".