12641526265013 has 2 divisors, whose sum is σ = 12641526265014. Its totient is φ = 12641526265012.

The previous prime is 12641526264967. The next prime is 12641526265051. The reversal of 12641526265013 is 31056262514621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9844678090129 + 2796848174884 = 3137623^2 + 1672378^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12641526265013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12641526265063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6320763132506 + 6320763132507.

It is an arithmetic number, because the mean of its divisors is an integer number (6320763132507).

Almost surely, 2^{12641526265013} is an apocalyptic number.

It is an amenable number.

12641526265013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12641526265013 is an equidigital number, since it uses as much as digits as its factorization.

12641526265013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 518400, while the sum is 44.

Adding to 12641526265013 its reverse (31056262514621), we get a palindrome (43697788779634).

The spelling of 12641526265013 in words is "twelve trillion, six hundred forty-one billion, five hundred twenty-six million, two hundred sixty-five thousand, thirteen".