82316606578601 has 16 divisors (see below), whose sum is σ = 89588198776464. Its totient is φ = 75318404511744.

The previous prime is 82316606578573. The next prime is 82316606578667. The reversal of 82316606578601 is 10687560661328.

It can be written as a sum of positive squares in 8 ways, for example, as 10990153219600 + 71326453359001 = 3315140^2 + 8445499^2 .

It is a cyclic number.

It is not a de Polignac number, because 82316606578601 - 2¹⁴ = 82316606562217 is a prime.

It is a super-3 number, since 3×82316606578601³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82316606578201) 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, 53181380 + ... + 54707333.

It is an arithmetic number, because the mean of its divisors is an integer number (5599262423529).

Almost surely, 2^{82316606578601} is an apocalyptic number.

It is an amenable number.

82316606578601 is a deficient number, since it is larger than the sum of its proper divisors (7271592197863).

82316606578601 is a wasteful number, since it uses less digits than its factorization.

82316606578601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107889980.

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 82316606578601 in words is "eighty-two trillion, three hundred sixteen billion, six hundred six million, five hundred seventy-eight thousand, six hundred one".