82583638528 has 20 divisors (see below), whose sum is σ = 165005981910. Its totient is φ = 41291819008.

The previous prime is 82583638499. The next prime is 82583638531.

It is a happy number.

82583638528 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 63238166784 + 19345471744 = 251472^2 + 139088^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 80647573 + ... + 80648596.

Almost surely, 2^82583638528 is an apocalyptic number.

It is an amenable number.

82583638528 is a deficient number, since it is larger than the sum of its proper divisors (82422343382).

82583638528 is an equidigital number, since it uses as much as digits as its factorization.

82583638528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161296187 (or 161296171 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 58.

The spelling of 82583638528 in words is "eighty-two billion, five hundred eighty-three million, six hundred thirty-eight thousand, five hundred twenty-eight".