82968652516369 has 9 divisors (see below), whose sum is σ = 86733044793129. Its totient is φ = 79361119406580.

The previous prime is 82968652516339. The next prime is 82968652516427. The reversal of 82968652516369 is 96361525686928.

The square root of 82968652516369 is 9108713.

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

It is not a de Polignac number, because 82968652516369 - 2⁷ = 82968652516241 is a prime.

It is a super-2 number, since 2×82968652516369² (a number of 29 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 = 82968652516295 and 82968652516304.

It is not an unprimeable number, because it can be changed into a prime (82968652516339) 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, 209302384 + ... + 209698414.

Almost surely, 2^{82968652516369} is an apocalyptic number.

82968652516369 is the 9108713-rd square number.

82968652516369 is the 4554357-th centered octagonal number.

It is an amenable number.

82968652516369 is a deficient number, since it is larger than the sum of its proper divisors (3764392276760).

82968652516369 is an frugal number, since it uses more digits than its factorization.

82968652516369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792108 (or 396054 counting only the distinct ones).

The product of its digits is 2015539200, while the sum is 76.

The spelling of 82968652516369 in words is "eighty-two trillion, nine hundred sixty-eight billion, six hundred fifty-two million, five hundred sixteen thousand, three hundred sixty-nine".