314306513 has 2 divisors, whose sum is σ = 314306514. Its totient is φ = 314306512.

The previous prime is 314306501. The next prime is 314306521. The reversal of 314306513 is 315603413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164660224 + 149646289 = 12832^2 + 12233^2 .

It is an emirp because it is prime and its reverse (315603413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314306513 - 2⁴ = 314306497 is a prime.

It is a super-2 number, since 2×314306513² = 197577168228438338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (314306593) 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, 157153256 + 157153257.

It is an arithmetic number, because the mean of its divisors is an integer number (157153257).

Almost surely, 2^314306513 is an apocalyptic number.

It is an amenable number.

314306513 is a deficient number, since it is larger than the sum of its proper divisors (1).

314306513 is an equidigital number, since it uses as much as digits as its factorization.

314306513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 314306513 is about 17728.6918017095. The cubic root of 314306513 is about 679.9095273232.

Adding to 314306513 its reverse (315603413), we get a palindrome (629909926).

The spelling of 314306513 in words is "three hundred fourteen million, three hundred six thousand, five hundred thirteen".