82825537129 has 8 divisors (see below), whose sum is σ = 83110294728. Its totient is φ = 82541162880.

The previous prime is 82825537121. The next prime is 82825537133. The reversal of 82825537129 is 92173552828.

It can be written as a sum of positive squares in 4 ways, for example, as 15568301529 + 67257235600 = 124773^2 + 259340^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82825537129 - 2³ = 82825537121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82825537121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340419 + ... + 530599.

It is an arithmetic number, because the mean of its divisors is an integer number (10388786841).

Almost surely, 2^82825537129 is an apocalyptic number.

It is an amenable number.

82825537129 is a deficient number, since it is larger than the sum of its proper divisors (284757599).

82825537129 is a wasteful number, since it uses less digits than its factorization.

82825537129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191675.

The product of its digits is 2419200, while the sum is 52.

The spelling of 82825537129 in words is "eighty-two billion, eight hundred twenty-five million, five hundred thirty-seven thousand, one hundred twenty-nine".