82590976001 has 8 divisors (see below), whose sum is σ = 83021633640. Its totient is φ = 82160434048.

The previous prime is 82590975997. The next prime is 82590976003. The reversal of 82590976001 is 10067909528.

It can be written as a sum of positive squares in 4 ways, for example, as 37752490000 + 44838486001 = 194300^2 + 211751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82590976001 - 2² = 82590975997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82590976003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1657235 + ... + 1706343.

It is an arithmetic number, because the mean of its divisors is an integer number (10377704205).

Almost surely, 2^82590976001 is an apocalyptic number.

It is an amenable number.

82590976001 is a deficient number, since it is larger than the sum of its proper divisors (430657639).

82590976001 is a wasteful number, since it uses less digits than its factorization.

82590976001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57843.

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 82590976001 in words is "eighty-two billion, five hundred ninety million, nine hundred seventy-six thousand, one".