27305621610301 has 2 divisors, whose sum is σ = 27305621610302. Its totient is φ = 27305621610300.

The previous prime is 27305621610259. The next prime is 27305621610353. The reversal of 27305621610301 is 10301612650372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27130826543076 + 174795067225 = 5208726^2 + 418085^2 .

It is a cyclic number.

It is not a de Polignac number, because 27305621610301 - 2²³ = 27305613221693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27305625610301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13652810805150 + 13652810805151.

It is an arithmetic number, because the mean of its divisors is an integer number (13652810805151).

Almost surely, 2^{27305621610301} is an apocalyptic number.

It is an amenable number.

27305621610301 is a deficient number, since it is larger than the sum of its proper divisors (1).

27305621610301 is an equidigital number, since it uses as much as digits as its factorization.

27305621610301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 27305621610301 in words is "twenty-seven trillion, three hundred five billion, six hundred twenty-one million, six hundred ten thousand, three hundred one".