2002686316569 has 9 divisors (see below), whose sum is σ = 2892775256319. Its totient is φ = 1335121380720.

The previous prime is 2002686316523. The next prime is 2002686316663. The reversal of 2002686316569 is 9656136862002.

The square root of 2002686316569 is 1415163.

It is a perfect power (a square), and thus also a powerful number.

2002686316569 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 6 + 8 + 63 + 16 + 569 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1168532894169 + 834153422400 = 1080987^2 + 913320^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-2002686316569 is a prime.

It is a super-2 number, since 2×2002686316569² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002686316669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4009629 + ... + 4481349.

Almost surely, 2^{2002686316569} is an apocalyptic number.

2002686316569 is the 1415163-rd square number.

2002686316569 is the 707582-nd centered octagonal number.

It is an amenable number.

2002686316569 is a deficient number, since it is larger than the sum of its proper divisors (890088939750).

2002686316569 is an frugal number, since it uses more digits than its factorization.

2002686316569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943448 (or 471724 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2002686316569 in words is "two trillion, two billion, six hundred eighty-six million, three hundred sixteen thousand, five hundred sixty-nine".