32305863406081 has 2 divisors, whose sum is σ = 32305863406082. Its totient is φ = 32305863406080.

The previous prime is 32305863406057. The next prime is 32305863406129. The reversal of 32305863406081 is 18060436850323.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29813620234225 + 2492243171856 = 5460185^2 + 1578684^2 .

It is a cyclic number.

It is not a de Polignac number, because 32305863406081 - 2²⁷ = 32305729188353 is a prime.

It is a super-3 number, since 3×32305863406081³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (32305863406681) 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 as a sum of consecutive naturals, namely, 16152931703040 + 16152931703041.

It is an arithmetic number, because the mean of its divisors is an integer number (16152931703041).

Almost surely, 2^{32305863406081} is an apocalyptic number.

It is an amenable number.

32305863406081 is a deficient number, since it is larger than the sum of its proper divisors (1).

32305863406081 is an equidigital number, since it uses as much as digits as its factorization.

32305863406081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 32305863406081 in words is "thirty-two trillion, three hundred five billion, eight hundred sixty-three million, four hundred six thousand, eighty-one".