2565610013 has 2 divisors, whose sum is σ = 2565610014. Its totient is φ = 2565610012.

The previous prime is 2565609989. The next prime is 2565610051. The reversal of 2565610013 is 3100165652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2185282009 + 380328004 = 46747^2 + 19502^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2565610013 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 (2565610613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282805006 + 1282805007.

It is an arithmetic number, because the mean of its divisors is an integer number (1282805007).

Almost surely, 2^2565610013 is an apocalyptic number.

It is an amenable number.

2565610013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565610013 is an equidigital number, since it uses as much as digits as its factorization.

2565610013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 2565610013 is about 50651.8510323167. The cubic root of 2565610013 is about 1368.9792978013.

Adding to 2565610013 its reverse (3100165652), we get a palindrome (5665775665).

The spelling of 2565610013 in words is "two billion, five hundred sixty-five million, six hundred ten thousand, thirteen".