82008201271 has 16 divisors (see below), whose sum is σ = 85181896800. Its totient is φ = 78897369600.

The previous prime is 82008201269. The next prime is 82008201277. The reversal of 82008201271 is 17210280028.

It is a cyclic number.

It is not a de Polignac number, because 82008201271 - 2¹ = 82008201269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82008201277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 899475 + ... + 986443.

It is an arithmetic number, because the mean of its divisors is an integer number (5323868550).

Almost surely, 2^82008201271 is an apocalyptic number.

82008201271 is a deficient number, since it is larger than the sum of its proper divisors (3173695529).

82008201271 is a wasteful number, since it uses less digits than its factorization.

82008201271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87330.

The product of its (nonzero) digits is 3584, while the sum is 31.

Adding to 82008201271 its reverse (17210280028), we get a palindrome (99218481299).

The spelling of 82008201271 in words is "eighty-two billion, eight million, two hundred one thousand, two hundred seventy-one".