1066565125061 has 2 divisors, whose sum is σ = 1066565125062. Its totient is φ = 1066565125060.

The previous prime is 1066565125027. The next prime is 1066565125063. The reversal of 1066565125061 is 1605215656601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 724679340961 + 341885784100 = 851281^2 + 584710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1066565125061 is a prime.

It is a super-2 number, since 2×1066565125061² (a number of 25 digits) contains 22 as substring.

Together with 1066565125063, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1066565125063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 533282562530 + 533282562531.

It is an arithmetic number, because the mean of its divisors is an integer number (533282562531).

Almost surely, 2^{1066565125061} is an apocalyptic number.

It is an amenable number.

1066565125061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1066565125061 is an equidigital number, since it uses as much as digits as its factorization.

1066565125061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324000, while the sum is 44.

The spelling of 1066565125061 in words is "one trillion, sixty-six billion, five hundred sixty-five million, one hundred twenty-five thousand, sixty-one".