329542131391217 has 2 divisors, whose sum is σ = 329542131391218. Its totient is φ = 329542131391216.

The previous prime is 329542131391199. The next prime is 329542131391223. The reversal of 329542131391217 is 712193131245923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229105034798656 + 100437096592561 = 15136216^2 + 10021831^2 .

It is a cyclic number.

It is not a de Polignac number, because 329542131391217 - 2³⁰ = 329541057649393 is a prime.

It is a super-2 number, since 2×329542131391217² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (329542131391247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164771065695608 + 164771065695609.

It is an arithmetic number, because the mean of its divisors is an integer number (164771065695609).

Almost surely, 2^{329542131391217} is an apocalyptic number.

It is an amenable number.

329542131391217 is a deficient number, since it is larger than the sum of its proper divisors (1).

329542131391217 is an equidigital number, since it uses as much as digits as its factorization.

329542131391217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2449440, while the sum is 53.

The spelling of 329542131391217 in words is "three hundred twenty-nine trillion, five hundred forty-two billion, one hundred thirty-one million, three hundred ninety-one thousand, two hundred seventeen".