3585685657657 has 2 divisors, whose sum is σ = 3585685657658. Its totient is φ = 3585685657656.

The previous prime is 3585685657523. The next prime is 3585685657669. The reversal of 3585685657657 is 7567565865853.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2835792008361 + 749893649296 = 1683981^2 + 865964^2 .

It is a cyclic number.

It is not a de Polignac number, because 3585685657657 - 2¹¹ = 3585685655609 is a prime.

It is a super-2 number, since 2×3585685657657² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3585685657357) 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, 1792842828828 + 1792842828829.

It is an arithmetic number, because the mean of its divisors is an integer number (1792842828829).

Almost surely, 2^{3585685657657} is an apocalyptic number.

It is an amenable number.

3585685657657 is a deficient number, since it is larger than the sum of its proper divisors (1).

3585685657657 is an equidigital number, since it uses as much as digits as its factorization.

3585685657657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6350400000, while the sum is 76.

The spelling of 3585685657657 in words is "three trillion, five hundred eighty-five billion, six hundred eighty-five million, six hundred fifty-seven thousand, six hundred fifty-seven".