6517997923369 has 9 divisors (see below), whose sum is σ = 6699018253221. Its totient is φ = 6341743908000.

The previous prime is 6517997923361. The next prime is 6517997923379. The reversal of 6517997923369 is 9633297997156.

The square root of 6517997923369 is 2553037.

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 332888611225 + 6185109312144 = 576965^2 + 2486988^2 .

It is not a de Polignac number, because 6517997923369 - 2³ = 6517997923361 is a prime.

It is a super-2 number, since 2×6517997923369² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6517997923295 and 6517997923304.

It is not an unprimeable number, because it can be changed into a prime (6517997923361) 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, 94427869 + ... + 94496869.

It is an arithmetic number, because the mean of its divisors is an integer number (744335361469).

Almost surely, 2^{6517997923369} is an apocalyptic number.

6517997923369 is the 2553037-th square number.

6517997923369 is the 1276519-th centered octagonal number.

It is an amenable number.

6517997923369 is a deficient number, since it is larger than the sum of its proper divisors (181020329852).

6517997923369 is an frugal number, since it uses more digits than its factorization.

6517997923369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138076 (or 69038 counting only the distinct ones).

The product of its digits is 1041624360, while the sum is 76.

The spelling of 6517997923369 in words is "six trillion, five hundred seventeen billion, nine hundred ninety-seven million, nine hundred twenty-three thousand, three hundred sixty-nine".