27431972640301 has 2 divisors, whose sum is σ = 27431972640302. Its totient is φ = 27431972640300.

The previous prime is 27431972640299. The next prime is 27431972640307. The reversal of 27431972640301 is 10304627913472.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27416732737801 + 15239902500 = 5236099^2 + 123450^2 .

It is a cyclic number.

It is not a de Polignac number, because 27431972640301 - 2¹ = 27431972640299 is a prime.

Together with 27431972640299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27431972640307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13715986320150 + 13715986320151.

It is an arithmetic number, because the mean of its divisors is an integer number (13715986320151).

Almost surely, 2^{27431972640301} is an apocalyptic number.

It is an amenable number.

27431972640301 is a deficient number, since it is larger than the sum of its proper divisors (1).

27431972640301 is an equidigital number, since it uses as much as digits as its factorization.

27431972640301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 27431972640301 in words is "twenty-seven trillion, four hundred thirty-one billion, nine hundred seventy-two million, six hundred forty thousand, three hundred one".