27182137836701 has 2 divisors, whose sum is σ = 27182137836702. Its totient is φ = 27182137836700.

The previous prime is 27182137836629. The next prime is 27182137836703. The reversal of 27182137836701 is 10763873128172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15359336971801 + 11822800864900 = 3919099^2 + 3438430^2 .

It is a cyclic number.

It is not a de Polignac number, because 27182137836701 - 2¹⁴ = 27182137820317 is a prime.

Together with 27182137836703, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27182137836703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13591068918350 + 13591068918351.

It is an arithmetic number, because the mean of its divisors is an integer number (13591068918351).

Almost surely, 2^{27182137836701} is an apocalyptic number.

It is an amenable number.

27182137836701 is a deficient number, since it is larger than the sum of its proper divisors (1).

27182137836701 is an equidigital number, since it uses as much as digits as its factorization.

27182137836701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4741632, while the sum is 56.

The spelling of 27182137836701 in words is "twenty-seven trillion, one hundred eighty-two billion, one hundred thirty-seven million, eight hundred thirty-six thousand, seven hundred one".