66873905035577 has 2 divisors, whose sum is σ = 66873905035578. Its totient is φ = 66873905035576.

The previous prime is 66873905035501. The next prime is 66873905035589. The reversal of 66873905035577 is 77553050937866.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63356250992896 + 3517654042681 = 7959664^2 + 1875541^2 .

It is a cyclic number.

It is not a de Polignac number, because 66873905035577 - 2²⁰ = 66873903987001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66873905035577.

It is not a weakly prime, because it can be changed into another prime (66873905035877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33436952517788 + 33436952517789.

It is an arithmetic number, because the mean of its divisors is an integer number (33436952517789).

Almost surely, 2^{66873905035577} is an apocalyptic number.

It is an amenable number.

66873905035577 is a deficient number, since it is larger than the sum of its proper divisors (1).

66873905035577 is an equidigital number, since it uses as much as digits as its factorization.

66873905035577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1000188000, while the sum is 71.

The spelling of 66873905035577 in words is "sixty-six trillion, eight hundred seventy-three billion, nine hundred five million, thirty-five thousand, five hundred seventy-seven".