321174066725761 has 2 divisors, whose sum is σ = 321174066725762. Its totient is φ = 321174066725760.

The previous prime is 321174066725747. The next prime is 321174066725767. The reversal of 321174066725761 is 167527660471123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 260524004251536 + 60650062474225 = 16140756^2 + 7787815^2 .

It is a cyclic number.

It is not a de Polignac number, because 321174066725761 - 2⁹ = 321174066725249 is a prime.

It is a super-2 number, since 2×321174066725761² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321174066725696 and 321174066725705.

It is not a weakly prime, because it can be changed into another prime (321174066725767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160587033362880 + 160587033362881.

It is an arithmetic number, because the mean of its divisors is an integer number (160587033362881).

Almost surely, 2^{321174066725761} is an apocalyptic number.

It is an amenable number.

321174066725761 is a deficient number, since it is larger than the sum of its proper divisors (1).

321174066725761 is an equidigital number, since it uses as much as digits as its factorization.

321174066725761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17781120, while the sum is 58.

The spelling of 321174066725761 in words is "three hundred twenty-one trillion, one hundred seventy-four billion, sixty-six million, seven hundred twenty-five thousand, seven hundred sixty-one".