27072054313 has 2 divisors, whose sum is σ = 27072054314. Its totient is φ = 27072054312.

The previous prime is 27072054199. The next prime is 27072054391. The reversal of 27072054313 is 31345027072.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27044460304 + 27594009 = 164452^2 + 5253^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27072054313 is a prime.

It is a super-2 number, since 2×27072054313² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27072054013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13536027156 + 13536027157.

It is an arithmetic number, because the mean of its divisors is an integer number (13536027157).

Almost surely, 2^27072054313 is an apocalyptic number.

It is an amenable number.

27072054313 is a deficient number, since it is larger than the sum of its proper divisors (1).

27072054313 is an equidigital number, since it uses as much as digits as its factorization.

27072054313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 34.

The spelling of 27072054313 in words is "twenty-seven billion, seventy-two million, fifty-four thousand, three hundred thirteen".