322320312525257 has 2 divisors, whose sum is σ = 322320312525258. Its totient is φ = 322320312525256.

The previous prime is 322320312525193. The next prime is 322320312525311. The reversal of 322320312525257 is 752525213023223.

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., 197336498617801 + 124983813907456 = 14047651^2 + 11179616^2 .

It is a cyclic number.

It is not a de Polignac number, because 322320312525257 - 2⁶ = 322320312525193 is a prime.

It is not a weakly prime, because it can be changed into another prime (322320312525557) 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 as a sum of consecutive naturals, namely, 161160156262628 + 161160156262629.

It is an arithmetic number, because the mean of its divisors is an integer number (161160156262629).

Almost surely, 2^{322320312525257} is an apocalyptic number.

It is an amenable number.

322320312525257 is a deficient number, since it is larger than the sum of its proper divisors (1).

322320312525257 is an equidigital number, since it uses as much as digits as its factorization.

322320312525257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512000, while the sum is 44.

The spelling of 322320312525257 in words is "three hundred twenty-two trillion, three hundred twenty billion, three hundred twelve million, five hundred twenty-five thousand, two hundred fifty-seven".