82135266253129 has 32 divisors (see below), whose sum is σ = 85309043529600. Its totient is φ = 79027674001920.

The previous prime is 82135266253099. The next prime is 82135266253171. The reversal of 82135266253129 is 92135266253128.

It is a cyclic number.

It is not a de Polignac number, because 82135266253129 - 2²⁵ = 82135232698697 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82135266253129.

It is not an unprimeable number, because it can be changed into a prime (82135266250129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5470935427 + ... + 5470950439.

It is an arithmetic number, because the mean of its divisors is an integer number (2665907610300).

Almost surely, 2^{82135266253129} is an apocalyptic number.

It is an amenable number.

82135266253129 is a deficient number, since it is larger than the sum of its proper divisors (3173777276471).

82135266253129 is a wasteful number, since it uses less digits than its factorization.

82135266253129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21865.

The product of its digits is 9331200, while the sum is 55.

Subtracting 82135266253129 from its reverse (92135266253128), we obtain a palindrome (9999999999999).

The spelling of 82135266253129 in words is "eighty-two trillion, one hundred thirty-five billion, two hundred sixty-six million, two hundred fifty-three thousand, one hundred twenty-nine".