27604752622121 has 2 divisors, whose sum is σ = 27604752622122. Its totient is φ = 27604752622120.

The previous prime is 27604752622061. The next prime is 27604752622171. The reversal of 27604752622121 is 12122625740672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20555387778025 + 7049364844096 = 4533805^2 + 2655064^2 .

It is a cyclic number.

It is not a de Polignac number, because 27604752622121 - 2³⁴ = 27587572752937 is a prime.

It is not a weakly prime, because it can be changed into another prime (27604752622171) 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, 13802376311060 + 13802376311061.

It is an arithmetic number, because the mean of its divisors is an integer number (13802376311061).

Almost surely, 2^{27604752622121} is an apocalyptic number.

It is an amenable number.

27604752622121 is a deficient number, since it is larger than the sum of its proper divisors (1).

27604752622121 is an equidigital number, since it uses as much as digits as its factorization.

27604752622121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 27604752622121 in words is "twenty-seven trillion, six hundred four billion, seven hundred fifty-two million, six hundred twenty-two thousand, one hundred twenty-one".