66001611001217 has 2 divisors, whose sum is σ = 66001611001218. Its totient is φ = 66001611001216.

The previous prime is 66001611001043. The next prime is 66001611001243. The reversal of 66001611001217 is 71210011610066.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45426305929216 + 20575305072001 = 6739904^2 + 4536001^2 .

It is a cyclic number.

It is not a de Polignac number, because 66001611001217 - 2²⁶ = 66001543892353 is a prime.

It is a super-3 number, since 3×66001611001217³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (66001611001267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33000805500608 + 33000805500609.

It is an arithmetic number, because the mean of its divisors is an integer number (33000805500609).

Almost surely, 2^{66001611001217} is an apocalyptic number.

It is an amenable number.

66001611001217 is a deficient number, since it is larger than the sum of its proper divisors (1).

66001611001217 is an equidigital number, since it uses as much as digits as its factorization.

66001611001217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 32.

The spelling of 66001611001217 in words is "sixty-six trillion, one billion, six hundred eleven million, one thousand, two hundred seventeen".