66580555508573 has 2 divisors, whose sum is σ = 66580555508574. Its totient is φ = 66580555508572.

The previous prime is 66580555508563. The next prime is 66580555508581. The reversal of 66580555508573 is 37580555508566.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50832650608804 + 15747904899769 = 7129702^2 + 3968363^2 .

It is a cyclic number.

It is not a de Polignac number, because 66580555508573 - 2¹⁴ = 66580555492189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66580555508563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33290277754286 + 33290277754287.

It is an arithmetic number, because the mean of its divisors is an integer number (33290277754287).

Almost surely, 2^{66580555508573} is an apocalyptic number.

It is an amenable number.

66580555508573 is a deficient number, since it is larger than the sum of its proper divisors (1).

66580555508573 is an equidigital number, since it uses as much as digits as its factorization.

66580555508573 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756000000, while the sum is 68.

The spelling of 66580555508573 in words is "sixty-six trillion, five hundred eighty billion, five hundred fifty-five million, five hundred eight thousand, five hundred seventy-three".