27574107264013 has 2 divisors, whose sum is σ = 27574107264014. Its totient is φ = 27574107264012.

The previous prime is 27574107263977. The next prime is 27574107264023. The reversal of 27574107264013 is 31046270147572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27147465764329 + 426641499684 = 5210323^2 + 653178^2 .

It is a cyclic number.

It is not a de Polignac number, because 27574107264013 - 2¹⁷ = 27574107132941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27574107264023) 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, 13787053632006 + 13787053632007.

It is an arithmetic number, because the mean of its divisors is an integer number (13787053632007).

Almost surely, 2^{27574107264013} is an apocalyptic number.

It is an amenable number.

27574107264013 is a deficient number, since it is larger than the sum of its proper divisors (1).

27574107264013 is an equidigital number, since it uses as much as digits as its factorization.

27574107264013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 27574107264013 in words is "twenty-seven trillion, five hundred seventy-four billion, one hundred seven million, two hundred sixty-four thousand, thirteen".