66088511536561 has 2 divisors, whose sum is σ = 66088511536562. Its totient is φ = 66088511536560.

The previous prime is 66088511536547. The next prime is 66088511536573. The reversal of 66088511536561 is 16563511588066.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65901420684961 + 187090851600 = 8117969^2 + 432540^2 .

It is a cyclic number.

It is not a de Polignac number, because 66088511536561 - 2²¹ = 66088509439409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66088511536561.

It is not a weakly prime, because it can be changed into another prime (66088511506561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33044255768280 + 33044255768281.

It is an arithmetic number, because the mean of its divisors is an integer number (33044255768281).

Almost surely, 2^{66088511536561} is an apocalyptic number.

It is an amenable number.

66088511536561 is a deficient number, since it is larger than the sum of its proper divisors (1).

66088511536561 is an equidigital number, since it uses as much as digits as its factorization.

66088511536561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104000, while the sum is 61.

The spelling of 66088511536561 in words is "sixty-six trillion, eighty-eight billion, five hundred eleven million, five hundred thirty-six thousand, five hundred sixty-one".