6514985687809 has 27 divisors (see below), whose sum is σ = 6792725055753. Its totient is φ = 6248390256000.

The previous prime is 6514985687807. The next prime is 6514985687851. The reversal of 6514985687809 is 9087865894156.

The square root of 6514985687809 is 2552447.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1296831276225 + 5218154411584 = 1138785^2 + 2284328^2 .

It is not a de Polignac number, because 6514985687809 - 2¹ = 6514985687807 is a prime.

It is a super-2 number, since 2×6514985687809² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6514985687803) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10840242109 + ... + 10840242709.

Almost surely, 2^{6514985687809} is an apocalyptic number.

6514985687809 is the 2552447-th square number.

6514985687809 is the 1276224-th centered octagonal number.

It is an amenable number.

6514985687809 is a deficient number, since it is larger than the sum of its proper divisors (277739367944).

6514985687809 is an frugal number, since it uses more digits than its factorization.

6514985687809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 76.

The spelling of 6514985687809 in words is "six trillion, five hundred fourteen billion, nine hundred eighty-five million, six hundred eighty-seven thousand, eight hundred nine".