782517765243361 has 27 divisors (see below), whose sum is σ = 912454248777201. Its totient is φ = 669128140997064.

The previous prime is 782517765243359. The next prime is 782517765243427. The reversal of 782517765243361 is 163342567715287.

The square root of 782517765243361 is 27973519.

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

782517765243361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 782517765243361 - 2¹ = 782517765243359 is a prime.

It is a super-2 number, since 2×782517765243361² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (782517765213361) 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, 85962619336 + ... + 85962628438.

It is an arithmetic number, because the mean of its divisors is an integer number (33794601806563).

Almost surely, 2^{782517765243361} is an apocalyptic number.

782517765243361 is the 27973519-th square number.

782517765243361 is the 13986760-th centered octagonal number.

It is an amenable number.

782517765243361 is a deficient number, since it is larger than the sum of its proper divisors (129936483533840).

782517765243361 is an frugal number, since it uses more digits than its factorization.

782517765243361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19098 (or 9549 counting only the distinct ones).

The product of its digits is 355622400, while the sum is 67.

The spelling of 782517765243361 in words is "seven hundred eighty-two trillion, five hundred seventeen billion, seven hundred sixty-five million, two hundred forty-three thousand, three hundred sixty-one".