82819001001 has 16 divisors (see below), whose sum is σ = 122438824128. Its totient is φ = 49370491200.

The previous prime is 82819000939. The next prime is 82819001003. The reversal of 82819001001 is 10010091828.

It is not a de Polignac number, because 82819001001 - 2⁶ = 82819000937 is a prime.

It is a super-3 number, since 3×82819001001³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82819001001.

It is not an unprimeable number, because it can be changed into a prime (82819001003) 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 15 ways as a sum of consecutive naturals, for example, 20569026 + ... + 20573051.

It is an arithmetic number, because the mean of its divisors is an integer number (7652426508).

Almost surely, 2^82819001001 is an apocalyptic number.

It is an amenable number.

82819001001 is a deficient number, since it is larger than the sum of its proper divisors (39619823127).

82819001001 is a wasteful number, since it uses less digits than its factorization.

82819001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41142152.

The product of its (nonzero) digits is 1152, while the sum is 30.

Adding to 82819001001 its reverse (10010091828), we get a palindrome (92829092829).

The spelling of 82819001001 in words is "eighty-two billion, eight hundred nineteen million, one thousand, one".