314553413033221 has 2 divisors, whose sum is σ = 314553413033222. Its totient is φ = 314553413033220.

The previous prime is 314553413033177. The next prime is 314553413033257. The reversal of 314553413033221 is 122330314355413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256834278602500 + 57719134430721 = 16026050^2 + 7597311^2 .

It is a cyclic number.

It is not a de Polignac number, because 314553413033221 - 2¹¹ = 314553413031173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314553413030221) 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, 157276706516610 + 157276706516611.

It is an arithmetic number, because the mean of its divisors is an integer number (157276706516611).

Almost surely, 2^{314553413033221} is an apocalyptic number.

It is an amenable number.

314553413033221 is a deficient number, since it is larger than the sum of its proper divisors (1).

314553413033221 is an equidigital number, since it uses as much as digits as its factorization.

314553413033221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 40.

Adding to 314553413033221 its reverse (122330314355413), we get a palindrome (436883727388634).

The spelling of 314553413033221 in words is "three hundred fourteen trillion, five hundred fifty-three billion, four hundred thirteen million, thirty-three thousand, two hundred twenty-one".