82182909601 has 8 divisors (see below), whose sum is σ = 88511816960. Its totient is φ = 75855022992.

The previous prime is 82182909581. The next prime is 82182909607. The reversal of 82182909601 is 10690928128.

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 82182909601 - 2²¹ = 82180812449 is a prime.

It is a super-2 number, since 2×82182909601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82182909607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83691 + ... + 413968.

It is an arithmetic number, because the mean of its divisors is an integer number (11063977120).

Almost surely, 2^82182909601 is an apocalyptic number.

It is an amenable number.

82182909601 is a deficient number, since it is larger than the sum of its proper divisors (6328907359).

82182909601 is a wasteful number, since it uses less digits than its factorization.

82182909601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510375.

The product of its (nonzero) digits is 124416, while the sum is 46.

The spelling of 82182909601 in words is "eighty-two billion, one hundred eighty-two million, nine hundred nine thousand, six hundred one".