82830257825300 has 72 divisors (see below), whose sum is σ = 187128303631416. Its totient is φ = 31795042959360.

The previous prime is 82830257825279. The next prime is 82830257825303. The reversal of 82830257825300 is 352875203828.

It can be written as a sum of positive squares in 12 ways, for example, as 5085196381444 + 77745061443856 = 2255038^2 + 8817316^2 .

It is a super-2 number, since 2×82830257825300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82830257825303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153062477 + ... + 153602676.

It is an arithmetic number, because the mean of its divisors is an integer number (2599004217103).

Almost surely, 2^{82830257825300} is an apocalyptic number.

It is an amenable number.

82830257825300 is an abundant number, since it is smaller than the sum of its proper divisors (104298045806116).

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

82830257825300 is a wasteful number, since it uses less digits than its factorization.

82830257825300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306665277 (or 306665270 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 53.

The spelling of 82830257825300 in words is "eighty-two trillion, eight hundred thirty billion, two hundred fifty-seven million, eight hundred twenty-five thousand, three hundred".