26127162065113 has 2 divisors, whose sum is σ = 26127162065114. Its totient is φ = 26127162065112.

The previous prime is 26127162065047. The next prime is 26127162065129. The reversal of 26127162065113 is 31156026172162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19515516663769 + 6611645401344 = 4417637^2 + 2571312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-26127162065113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26127162065113.

It is not a weakly prime, because it can be changed into another prime (26127162065143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13063581032556 + 13063581032557.

It is an arithmetic number, because the mean of its divisors is an integer number (13063581032557).

Almost surely, 2^{26127162065113} is an apocalyptic number.

It is an amenable number.

26127162065113 is a deficient number, since it is larger than the sum of its proper divisors (1).

26127162065113 is an equidigital number, since it uses as much as digits as its factorization.

26127162065113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 26127162065113 in words is "twenty-six trillion, one hundred twenty-seven billion, one hundred sixty-two million, sixty-five thousand, one hundred thirteen".