10585378656661 has 2 divisors, whose sum is σ = 10585378656662. Its totient is φ = 10585378656660.

The previous prime is 10585378656653. The next prime is 10585378656691. The reversal of 10585378656661 is 16665687358501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10489631112900 + 95747543761 = 3238770^2 + 309431^2 .

It is a cyclic number.

It is not a de Polignac number, because 10585378656661 - 2³ = 10585378656653 is a prime.

It is a super-2 number, since 2×10585378656661² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10585378656691) 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, 5292689328330 + 5292689328331.

It is an arithmetic number, because the mean of its divisors is an integer number (5292689328331).

Almost surely, 2^{10585378656661} is an apocalyptic number.

It is an amenable number.

10585378656661 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585378656661 is an equidigital number, since it uses as much as digits as its factorization.

10585378656661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728000, while the sum is 67.

The spelling of 10585378656661 in words is "ten trillion, five hundred eighty-five billion, three hundred seventy-eight million, six hundred fifty-six thousand, six hundred sixty-one".