10685073052809 has 81 divisors (see below), whose sum is σ = 16000557663207. Its totient is φ = 6871076206848.

The previous prime is 10685073052799. The next prime is 10685073052837. The reversal of 10685073052809 is 90825037058601.

The square root of 10685073052809 is 3268803.

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

10685073052809 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 50 + 7 + 305 + 280 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4798005489225 + 5887067563584 = 2190435^2 + 2426328^2 .

It is not a de Polignac number, because 10685073052809 - 2²³ = 10685064664201 is a prime.

It is a super-3 number, since 3×10685073052809³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10685073052859) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 44707418512 + ... + 44707418750.

Almost surely, 2^{10685073052809} is an apocalyptic number.

10685073052809 is the 3268803-rd square number.

10685073052809 is the 1634402-nd centered octagonal number.

It is an amenable number.

10685073052809 is a deficient number, since it is larger than the sum of its proper divisors (5315484610398).

10685073052809 is an frugal number, since it uses more digits than its factorization.

10685073052809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 10685073052809 in words is "ten trillion, six hundred eighty-five billion, seventy-three million, fifty-two thousand, eight hundred nine".