300601309 has 2 divisors, whose sum is σ = 300601310. Its totient is φ = 300601308.

The previous prime is 300601307. The next prime is 300601333. The reversal of 300601309 is 903106003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257698809 + 42902500 = 16053^2 + 6550^2 .

It is a cyclic number.

It is not a de Polignac number, because 300601309 - 2¹ = 300601307 is a prime.

It is a super-2 number, since 2×300601309² = 180722293945026962, which contains 22 as substring.

Together with 300601307, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 300601309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300601307) 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, 150300654 + 150300655.

It is an arithmetic number, because the mean of its divisors is an integer number (150300655).

Almost surely, 2^300601309 is an apocalyptic number.

It is an amenable number.

300601309 is a deficient number, since it is larger than the sum of its proper divisors (1).

300601309 is an equidigital number, since it uses as much as digits as its factorization.

300601309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 300601309 is about 17337.8576819629. The cubic root of 300601309 is about 669.8799138755.

The spelling of 300601309 in words is "three hundred million, six hundred one thousand, three hundred nine".