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601314317 is a prime number
BaseRepresentation
bin100011110101110…
…101010000001101
31112220110221011122
4203311311100031
52212414024232
6135400130325
720621041652
oct4365652015
91486427148
10601314317
1128947638a
121494669a5
1397768bb6
1459c09c29
1537bcc312
hex23d7540d

601314317 has 2 divisors, whose sum is σ = 601314318. Its totient is φ = 601314316.

The previous prime is 601314313. The next prime is 601314319. The reversal of 601314317 is 713413106.

601314317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 573075721 + 28238596 = 23939^2 + 5314^2 .

It is a cyclic number.

It is not a de Polignac number, because 601314317 - 22 = 601314313 is a prime.

Together with 601314319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (601314313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 300657158 + 300657159.

It is an arithmetic number, because the mean of its divisors is an integer number (300657159).

Almost surely, 2601314317 is an apocalyptic number.

It is an amenable number.

601314317 is a deficient number, since it is larger than the sum of its proper divisors (1).

601314317 is an equidigital number, since it uses as much as digits as its factorization.

601314317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 601314317 is about 24521.7111352369. The cubic root of 601314317 is about 844.0480705496.

The spelling of 601314317 in words is "six hundred one million, three hundred fourteen thousand, three hundred seventeen".