205000013 has 2 divisors, whose sum is σ = 205000014. Its totient is φ = 205000012.

The previous prime is 205000007. The next prime is 205000021. The reversal of 205000013 is 310000502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139665124 + 65334889 = 11818^2 + 8083^2 .

It is a cyclic number.

It is not a de Polignac number, because 205000013 - 2⁴ = 204999997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204999958 and 205000003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205003013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102500006 + 102500007.

It is an arithmetic number, because the mean of its divisors is an integer number (102500007).

Almost surely, 2^205000013 is an apocalyptic number.

It is an amenable number.

205000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

205000013 is an equidigital number, since it uses as much as digits as its factorization.

205000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 205000013 is about 14317.8215172560. The cubic root of 205000013 is about 589.6368664609.

Adding to 205000013 its reverse (310000502), we get a palindrome (515000515).

The spelling of 205000013 in words is "two hundred five million, thirteen", and thus it is an aban number.