26540005632013 has 2 divisors, whose sum is σ = 26540005632014. Its totient is φ = 26540005632012.

The previous prime is 26540005631989. The next prime is 26540005632071. The reversal of 26540005632013 is 31023650004562.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20319061782889 + 6220943849124 = 4507667^2 + 2494182^2 .

It is a cyclic number.

It is not a de Polignac number, because 26540005632013 - 2¹³ = 26540005623821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (26540005632713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13270002816006 + 13270002816007.

It is an arithmetic number, because the mean of its divisors is an integer number (13270002816007).

Almost surely, 2^{26540005632013} is an apocalyptic number.

It is an amenable number.

26540005632013 is a deficient number, since it is larger than the sum of its proper divisors (1).

26540005632013 is an equidigital number, since it uses as much as digits as its factorization.

26540005632013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 26540005632013 its reverse (31023650004562), we get a palindrome (57563655636575).

The spelling of 26540005632013 in words is "twenty-six trillion, five hundred forty billion, five million, six hundred thirty-two thousand, thirteen".