3666300310081 has 2 divisors, whose sum is σ = 3666300310082. Its totient is φ = 3666300310080.

The previous prime is 3666300310027. The next prime is 3666300310111. The reversal of 3666300310081 is 1800130036663.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2695888151056 + 970412159025 = 1641916^2 + 985095^2 .

It is a cyclic number.

It is not a de Polignac number, because 3666300310081 - 2¹⁹ = 3666299785793 is a prime.

It is a super-2 number, since 2×3666300310081² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3666300310081.

It is not a weakly prime, because it can be changed into another prime (3666300310781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1833150155040 + 1833150155041.

It is an arithmetic number, because the mean of its divisors is an integer number (1833150155041).

Almost surely, 2^{3666300310081} is an apocalyptic number.

It is an amenable number.

3666300310081 is a deficient number, since it is larger than the sum of its proper divisors (1).

3666300310081 is an equidigital number, since it uses as much as digits as its factorization.

3666300310081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 3666300310081 in words is "three trillion, six hundred sixty-six billion, three hundred million, three hundred ten thousand, eighty-one".