82395729265601 has 8 divisors (see below), whose sum is σ = 84625709842944. Its totient is φ = 80165910213360.

The previous prime is 82395729265483. The next prime is 82395729265651. The reversal of 82395729265601 is 10656292759328.

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 82395729265601 - 2¹⁴ = 82395729249217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82395729265651) 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 7 ways as a sum of consecutive naturals, for example, 39346895 + ... + 41388036.

It is an arithmetic number, because the mean of its divisors is an integer number (10578213730368).

Almost surely, 2^{82395729265601} is an apocalyptic number.

It is an amenable number.

82395729265601 is a deficient number, since it is larger than the sum of its proper divisors (2229980577343).

82395729265601 is a wasteful number, since it uses less digits than its factorization.

82395729265601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80762551.

The product of its (nonzero) digits is 97977600, while the sum is 65.

The spelling of 82395729265601 in words is "eighty-two trillion, three hundred ninety-five billion, seven hundred twenty-nine million, two hundred sixty-five thousand, six hundred one".