82129513 has 2 divisors, whose sum is σ = 82129514. Its totient is φ = 82129512.

The previous prime is 82129511. The next prime is 82129543. The reversal of 82129513 is 31592128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77668969 + 4460544 = 8813^2 + 2112^2 .

It is a cyclic number.

It is not a de Polignac number, because 82129513 - 2¹ = 82129511 is a prime.

Together with 82129511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (82129511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41064756 + 41064757.

It is an arithmetic number, because the mean of its divisors is an integer number (41064757).

Almost surely, 2^82129513 is an apocalyptic number.

It is an amenable number.

82129513 is a deficient number, since it is larger than the sum of its proper divisors (1).

82129513 is an equidigital number, since it uses as much as digits as its factorization.

82129513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 31.

The square root of 82129513 is about 9062.5334758002. The cubic root of 82129513 is about 434.6767546175.

The spelling of 82129513 in words is "eighty-two million, one hundred twenty-nine thousand, five hundred thirteen".