66052205313461 has 2 divisors, whose sum is σ = 66052205313462. Its totient is φ = 66052205313460.

The previous prime is 66052205313427. The next prime is 66052205313517. The reversal of 66052205313461 is 16431350225066.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37779695817361 + 28272509496100 = 6146519^2 + 5317190^2 .

It is a cyclic number.

It is not a de Polignac number, because 66052205313461 - 2⁶ = 66052205313397 is a prime.

It is a super-2 number, since 2×66052205313461² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66052205313401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33026102656730 + 33026102656731.

It is an arithmetic number, because the mean of its divisors is an integer number (33026102656731).

Almost surely, 2^{66052205313461} is an apocalyptic number.

It is an amenable number.

66052205313461 is a deficient number, since it is larger than the sum of its proper divisors (1).

66052205313461 is an equidigital number, since it uses as much as digits as its factorization.

66052205313461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 66052205313461 in words is "sixty-six trillion, fifty-two billion, two hundred five million, three hundred thirteen thousand, four hundred sixty-one".