82000000000001 has 4 divisors (see below), whose sum is σ = 82000181924400. Its totient is φ = 81999818075604.

The previous prime is 81999999999997. The next prime is 82000000000003. The reversal of 82000000000001 is 10000000000028.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 82000000000001 - 2² = 81999999999997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81999999999892 and 81999999999901.

It is not an unprimeable number, because it can be changed into a prime (82000000000003) 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, 90284411 + ... + 91188128.

It is an arithmetic number, because the mean of its divisors is an integer number (20500045481100).

Almost surely, 2^{82000000000001} is an apocalyptic number.

It is an amenable number.

82000000000001 is a deficient number, since it is larger than the sum of its proper divisors (181924399).

82000000000001 is a wasteful number, since it uses less digits than its factorization.

82000000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181924398.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 82000000000001 its reverse (10000000000028), we get a palindrome (92000000000029).

The spelling of 82000000000001 in words is "eighty-two trillion, one", and thus it is an aban number and an uban number.