27257723137 has 2 divisors, whose sum is σ = 27257723138. Its totient is φ = 27257723136.

The previous prime is 27257723081. The next prime is 27257723159. The reversal of 27257723137 is 73132775272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26352976896 + 904746241 = 162336^2 + 30079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27257723137 is a prime.

It is a super-2 number, since 2×27257723137² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27257720137) 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, 13628861568 + 13628861569.

It is an arithmetic number, because the mean of its divisors is an integer number (13628861569).

Almost surely, 2^27257723137 is an apocalyptic number.

It is an amenable number.

27257723137 is a deficient number, since it is larger than the sum of its proper divisors (1).

27257723137 is an equidigital number, since it uses as much as digits as its factorization.

27257723137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864360, while the sum is 46.

The spelling of 27257723137 in words is "twenty-seven billion, two hundred fifty-seven million, seven hundred twenty-three thousand, one hundred thirty-seven".