27462635557013 has 2 divisors, whose sum is σ = 27462635557014. Its totient is φ = 27462635557012.

The previous prime is 27462635556959. The next prime is 27462635557117. The reversal of 27462635557013 is 31075553626472.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16607442499729 + 10855193057284 = 4075223^2 + 3294722^2 .

It is a cyclic number.

It is not a de Polignac number, because 27462635557013 - 2²² = 27462631362709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27462635557013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27462635527013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13731317778506 + 13731317778507.

It is an arithmetic number, because the mean of its divisors is an integer number (13731317778507).

Almost surely, 2^{27462635557013} is an apocalyptic number.

It is an amenable number.

27462635557013 is a deficient number, since it is larger than the sum of its proper divisors (1).

27462635557013 is an equidigital number, since it uses as much as digits as its factorization.

27462635557013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752000, while the sum is 56.

The spelling of 27462635557013 in words is "twenty-seven trillion, four hundred sixty-two billion, six hundred thirty-five million, five hundred fifty-seven thousand, thirteen".