265641206034013 has 2 divisors, whose sum is σ = 265641206034014. Its totient is φ = 265641206034012.

The previous prime is 265641206034011. The next prime is 265641206034067. The reversal of 265641206034013 is 310430602146562.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 261118872043929 + 4522333990084 = 16159173^2 + 2126578^2 .

It is a cyclic number.

It is not a de Polignac number, because 265641206034013 - 2¹ = 265641206034011 is a prime.

Together with 265641206034011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (265641206034011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132820603017006 + 132820603017007.

It is an arithmetic number, because the mean of its divisors is an integer number (132820603017007).

Almost surely, 2^{265641206034013} is an apocalyptic number.

It is an amenable number.

265641206034013 is a deficient number, since it is larger than the sum of its proper divisors (1).

265641206034013 is an equidigital number, since it uses as much as digits as its factorization.

265641206034013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 265641206034013 in words is "two hundred sixty-five trillion, six hundred forty-one billion, two hundred six million, thirty-four thousand, thirteen".