82826084001 has 16 divisors (see below), whose sum is σ = 121301360640. Its totient is φ = 50036809680.

The previous prime is 82826083993. The next prime is 82826084051. The reversal of 82826084001 is 10048062828.

It is not a de Polignac number, because 82826084001 - 2³ = 82826083993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82826084051) 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, 31587585 + ... + 31590206.

It is an arithmetic number, because the mean of its divisors is an integer number (7581335040).

Almost surely, 2^82826084001 is an apocalyptic number.

It is an amenable number.

82826084001 is a deficient number, since it is larger than the sum of its proper divisors (38475276639).

82826084001 is a wasteful number, since it uses less digits than its factorization.

82826084001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63177836.

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 82826084001 in words is "eighty-two billion, eight hundred twenty-six million, eighty-four thousand, one".