205242415013 has 2 divisors, whose sum is σ = 205242415014. Its totient is φ = 205242415012.

The previous prime is 205242414991. The next prime is 205242415061. The reversal of 205242415013 is 310514242502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190290505729 + 14951909284 = 436223^2 + 122278^2 .

It is a cyclic number.

It is not a de Polignac number, because 205242415013 - 2²² = 205238220709 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205242415073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102621207506 + 102621207507.

It is an arithmetic number, because the mean of its divisors is an integer number (102621207507).

Almost surely, 2^205242415013 is an apocalyptic number.

It is an amenable number.

205242415013 is a deficient number, since it is larger than the sum of its proper divisors (1).

205242415013 is an equidigital number, since it uses as much as digits as its factorization.

205242415013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 205242415013 its reverse (310514242502), we get a palindrome (515756657515).

The spelling of 205242415013 in words is "two hundred five billion, two hundred forty-two million, four hundred fifteen thousand, thirteen".