82168222501 has 12 divisors (see below), whose sum is σ = 88716902980. Its totient is φ = 76066997760.

The previous prime is 82168222481. The next prime is 82168222519. The reversal of 82168222501 is 10522286128.

It is a Cunningham number, because it is equal to 286650²+1.

It can be written as a sum of positive squares in 6 ways, for example, as 1 + 82168222500 = 1^2 + 286650^2 .

It is not a de Polignac number, because 82168222501 - 2⁷ = 82168222373 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 (82168222531) 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 11 ways as a sum of consecutive naturals, for example, 2312856 + ... + 2348113.

Almost surely, 2^82168222501 is an apocalyptic number.

It is an amenable number.

82168222501 is a deficient number, since it is larger than the sum of its proper divisors (6548680479).

82168222501 is a wasteful number, since it uses less digits than its factorization.

82168222501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661064 (or 4661047 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 82168222501 in words is "eighty-two billion, one hundred sixty-eight million, two hundred twenty-two thousand, five hundred one".