205011013 has 2 divisors, whose sum is σ = 205011014. Its totient is φ = 205011012.

The previous prime is 205010999. The next prime is 205011019. The reversal of 205011013 is 310110502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102556129 + 102454884 = 10127^2 + 10122^2 .

It is a cyclic number.

It is not a de Polignac number, because 205011013 - 2⁹ = 205010501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205010984 and 205011002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205011019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102505506 + 102505507.

It is an arithmetic number, because the mean of its divisors is an integer number (102505507).

Almost surely, 2^205011013 is an apocalyptic number.

It is an amenable number.

205011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

205011013 is an equidigital number, since it uses as much as digits as its factorization.

205011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 205011013 is about 14318.2056487536. The cubic root of 205011013 is about 589.6474126221.

Adding to 205011013 its reverse (310110502), we get a palindrome (515121515).

The spelling of 205011013 in words is "two hundred five million, eleven thousand, thirteen".