321685127786753 has 2 divisors, whose sum is σ = 321685127786754. Its totient is φ = 321685127786752.

The previous prime is 321685127786749. The next prime is 321685127786761. The reversal of 321685127786753 is 357687721586123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303676036247809 + 18009091538944 = 17426303^2 + 4243712^2 .

It is a cyclic number.

It is not a de Polignac number, because 321685127786753 - 2² = 321685127786749 is a prime.

It is not a weakly prime, because it can be changed into another prime (321685127786353) 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, 160842563893376 + 160842563893377.

It is an arithmetic number, because the mean of its divisors is an integer number (160842563893377).

Almost surely, 2^{321685127786753} is an apocalyptic number.

It is an amenable number.

321685127786753 is a deficient number, since it is larger than the sum of its proper divisors (1).

321685127786753 is an equidigital number, since it uses as much as digits as its factorization.

321685127786753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 711244800, while the sum is 71.

The spelling of 321685127786753 in words is "three hundred twenty-one trillion, six hundred eighty-five billion, one hundred twenty-seven million, seven hundred eighty-six thousand, seven hundred fifty-three".