82595053353306 has 64 divisors (see below), whose sum is σ = 178607717124480. Its totient is φ = 25312532071680.

The previous prime is 82595053353301. The next prime is 82595053353311. The reversal of 82595053353306 is 60335335059528.

It is an interprime number because it is at equal distance from previous prime (82595053353301) and next prime (82595053353311).

It is a super-2 number, since 2×82595053353306² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82595053353301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18295036 + ... + 22358408.

It is an arithmetic number, because the mean of its divisors is an integer number (2790745580070).

Almost surely, 2^{82595053353306} is an apocalyptic number.

82595053353306 is an abundant number, since it is smaller than the sum of its proper divisors (96012663771174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82595053353306 is a wasteful number, since it uses less digits than its factorization.

82595053353306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064431.

The product of its (nonzero) digits is 43740000, while the sum is 57.

The spelling of 82595053353306 in words is "eighty-two trillion, five hundred ninety-five billion, fifty-three million, three hundred fifty-three thousand, three hundred six".