321516640001 has 2 divisors, whose sum is σ = 321516640002. Its totient is φ = 321516640000.

The previous prime is 321516639979. The next prime is 321516640021. The reversal of 321516640001 is 100046615123.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 321143223025 + 373416976 = 566695^2 + 19324^2 .

It is a cyclic number.

It is not a de Polignac number, because 321516640001 - 2⁶ = 321516639937 is a prime.

It is not a weakly prime, because it can be changed into another prime (321516640021) 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, 160758320000 + 160758320001.

It is an arithmetic number, because the mean of its divisors is an integer number (160758320001).

Almost surely, 2^321516640001 is an apocalyptic number.

It is an amenable number.

321516640001 is a deficient number, since it is larger than the sum of its proper divisors (1).

321516640001 is an equidigital number, since it uses as much as digits as its factorization.

321516640001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 321516640001 in words is "three hundred twenty-one billion, five hundred sixteen million, six hundred forty thousand, one".