82583355338528 has 24 divisors (see below), whose sum is σ = 177366524534640. Its totient is φ = 37537888790080.

The previous prime is 82583355338527. The next prime is 82583355338537.

82583355338528 is nontrivially palindromic in base 10.

82583355338528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82583355338528² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82583355338527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117305902118 + ... + 117305902821.

It is an arithmetic number, because the mean of its divisors is an integer number (7390271855610).

Almost surely, 2^{82583355338528} is an apocalyptic number.

82583355338528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82583355338528 is an abundant number, since it is smaller than the sum of its proper divisors (94783169196112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82583355338528 is a wasteful number, since it uses less digits than its factorization.

82583355338528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234611804960 (or 234611804952 counting only the distinct ones).

The product of its digits is 829440000, while the sum is 68.

The spelling of 82583355338528 in words is "eighty-two trillion, five hundred eighty-three billion, three hundred fifty-five million, three hundred thirty-eight thousand, five hundred twenty-eight".