13827610073 has 2 divisors, whose sum is σ = 13827610074. Its totient is φ = 13827610072.

The previous prime is 13827610063. The next prime is 13827610087. The reversal of 13827610073 is 37001672831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13332859024 + 494751049 = 115468^2 + 22243^2 .

It is a cyclic number.

It is not a de Polignac number, because 13827610073 - 2⁶ = 13827610009 is a prime.

It is a super-3 number, since 3×13827610073³ (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13827610003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6913805036 + 6913805037.

It is an arithmetic number, because the mean of its divisors is an integer number (6913805037).

Almost surely, 2^13827610073 is an apocalyptic number.

It is an amenable number.

13827610073 is a deficient number, since it is larger than the sum of its proper divisors (1).

13827610073 is an equidigital number, since it uses as much as digits as its factorization.

13827610073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 13827610073 in words is "thirteen billion, eight hundred twenty-seven million, six hundred ten thousand, seventy-three".