4314311334257 has 2 divisors, whose sum is σ = 4314311334258. Its totient is φ = 4314311334256.

The previous prime is 4314311334197. The next prime is 4314311334259. The reversal of 4314311334257 is 7524331134134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2694798029056 + 1619513305201 = 1641584^2 + 1272601^2 .

It is a cyclic number.

It is not a de Polignac number, because 4314311334257 - 2³⁸ = 4039433427313 is a prime.

It is a super-2 number, since 2×4314311334257² (a number of 26 digits) contains 22 as substring.

Together with 4314311334259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4314311334259) 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, 2157155667128 + 2157155667129.

It is an arithmetic number, because the mean of its divisors is an integer number (2157155667129).

Almost surely, 2^{4314311334257} is an apocalyptic number.

It is an amenable number.

4314311334257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4314311334257 is an equidigital number, since it uses as much as digits as its factorization.

4314311334257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 362880, while the sum is 41.

The spelling of 4314311334257 in words is "four trillion, three hundred fourteen billion, three hundred eleven million, three hundred thirty-four thousand, two hundred fifty-seven".