27723416305513 has 2 divisors, whose sum is σ = 27723416305514. Its totient is φ = 27723416305512.

The previous prime is 27723416305499. The next prime is 27723416305589. The reversal of 27723416305513 is 31550361432772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25840681057129 + 1882735248384 = 5083373^2 + 1372128^2 .

It is a cyclic number.

It is not a de Polignac number, because 27723416305513 - 2³³ = 27714826370921 is a prime.

It is not a weakly prime, because it can be changed into another prime (27723416300513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13861708152756 + 13861708152757.

It is an arithmetic number, because the mean of its divisors is an integer number (13861708152757).

Almost surely, 2^{27723416305513} is an apocalyptic number.

It is an amenable number.

27723416305513 is a deficient number, since it is larger than the sum of its proper divisors (1).

27723416305513 is an equidigital number, since it uses as much as digits as its factorization.

27723416305513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 27723416305513 in words is "twenty-seven trillion, seven hundred twenty-three billion, four hundred sixteen million, three hundred five thousand, five hundred thirteen".