82578712322089 has 9 divisors (see below), whose sum is σ = 82800626338647. Its totient is φ = 82357391544624.

The previous prime is 82578712322081. The next prime is 82578712322129. The reversal of 82578712322089 is 98022321787528.

The square root of 82578712322089 is 9087283.

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., 35790485725225 + 46788226596864 = 5982515^2 + 6840192^2 .

It is not a de Polignac number, because 82578712322089 - 2³ = 82578712322081 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 82578712322089.

It is not an unprimeable number, because it can be changed into a prime (82578712322081) 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, 3444068269 + ... + 3444092245.

It is an arithmetic number, because the mean of its divisors is an integer number (9200069593183).

Almost surely, 2^{82578712322089} is an apocalyptic number.

82578712322089 is the 9087283-rd square number.

82578712322089 is the 4543642-nd centered octagonal number.

It is an amenable number.

82578712322089 is a deficient number, since it is larger than the sum of its proper divisors (221914016558).

82578712322089 is an frugal number, since it uses more digits than its factorization.

82578712322089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48712 (or 24356 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 64.

It can be divided in two parts, 825787 and 12322089, that added together give a square (13147876 = 3626²).

The spelling of 82578712322089 in words is "eighty-two trillion, five hundred seventy-eight billion, seven hundred twelve million, three hundred twenty-two thousand, eighty-nine".