82385806001 has 2 divisors, whose sum is σ = 82385806002. Its totient is φ = 82385806000.

The previous prime is 82385805959. The next prime is 82385806003. The reversal of 82385806001 is 10060858328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77395796401 + 4990009600 = 278201^2 + 70640^2 .

It is a cyclic number.

It is not a de Polignac number, because 82385806001 - 2¹⁸ = 82385543857 is a prime.

It is a super-2 number, since 2×82385806001² (a number of 23 digits) contains 22 as substring.

Together with 82385806003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82385806001.

It is not a weakly prime, because it can be changed into another prime (82385806003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41192903000 + 41192903001.

It is an arithmetic number, because the mean of its divisors is an integer number (41192903001).

Almost surely, 2^82385806001 is an apocalyptic number.

It is an amenable number.

82385806001 is a deficient number, since it is larger than the sum of its proper divisors (1).

82385806001 is an equidigital number, since it uses as much as digits as its factorization.

82385806001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 82385806001 in words is "eighty-two billion, three hundred eighty-five million, eight hundred six thousand, one".