82282986574009 has 27 divisors (see below), whose sum is σ = 92281499119719. Its totient is φ = 73331391107520.

The previous prime is 82282986573917. The next prime is 82282986574013. The reversal of 82282986574009 is 90047568928228.

The square root of 82282986574009 is 9070997.

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

It can be written as a sum of positive squares in 13 ways, for example, as 15157278765225 + 67125707808784 = 3893235^2 + 8193028^2 .

It is not a de Polignac number, because 82282986574009 - 2⁷ = 82282986573881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82282986577009) 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, 3419753839 + ... + 3419777899.

Almost surely, 2^{82282986574009} is an apocalyptic number.

82282986574009 is the 9070997-th square number.

82282986574009 is the 4535499-th centered octagonal number.

It is an amenable number.

82282986574009 is a deficient number, since it is larger than the sum of its proper divisors (9998512545710).

82282986574009 is an frugal number, since it uses more digits than its factorization.

82282986574009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48206 (or 24103 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 70.

The spelling of 82282986574009 in words is "eighty-two trillion, two hundred eighty-two billion, nine hundred eighty-six million, five hundred seventy-four thousand, nine".