221264428053217 has 2 divisors, whose sum is σ = 221264428053218. Its totient is φ = 221264428053216.

The previous prime is 221264428053199. The next prime is 221264428053313. The reversal of 221264428053217 is 712350824462122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151309287014656 + 69955141038561 = 12300784^2 + 8363919^2 .

It is a cyclic number.

It is not a de Polignac number, because 221264428053217 - 2²³ = 221264419664609 is a prime.

It is not a weakly prime, because it can be changed into another prime (221264428053017) 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, 110632214026608 + 110632214026609.

It is an arithmetic number, because the mean of its divisors is an integer number (110632214026609).

Almost surely, 2^{221264428053217} is an apocalyptic number.

It is an amenable number.

221264428053217 is a deficient number, since it is larger than the sum of its proper divisors (1).

221264428053217 is an equidigital number, since it uses as much as digits as its factorization.

221264428053217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 221264428053217 in words is "two hundred twenty-one trillion, two hundred sixty-four billion, four hundred twenty-eight million, fifty-three thousand, two hundred seventeen".