8259719689 has 9 divisors (see below), whose sum is σ = 8945236359. Its totient is φ = 7623266040.

The previous prime is 8259719687. The next prime is 8259719707. The reversal of 8259719689 is 9869179528.

The square root of 8259719689 is 90883.

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

It can be written as a sum of positive squares in only one way, i.e., 1221852025 + 7037867664 = 34955^2 + 83892^2 .

It is not a de Polignac number, because 8259719689 - 2¹ = 8259719687 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8259719689.

It is not an unprimeable number, because it can be changed into a prime (8259719687) 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, 1177984 + ... + 1184974.

It is an arithmetic number, because the mean of its divisors is an integer number (993915151).

Almost surely, 2^8259719689 is an apocalyptic number.

8259719689 is the 90883-rd square number.

8259719689 is the 45442-nd centered octagonal number.

It is an amenable number.

8259719689 is a deficient number, since it is larger than the sum of its proper divisors (685516670).

8259719689 is an frugal number, since it uses more digits than its factorization.

8259719689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14008 (or 7004 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 64.

The cubic root of 8259719689 is about 2021.4132260806.

Multiplying 8259719689 by its sum of digits (64), we get a square (528622060096 = 727064²).

The spelling of 8259719689 in words is "eight billion, two hundred fifty-nine million, seven hundred nineteen thousand, six hundred eighty-nine".