601309 has 2 divisors, whose sum is σ = 601310. Its totient is φ = 601308.

The previous prime is 601297. The next prime is 601313. The reversal of 601309 is 903106.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 562500 + 38809 = 750^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 601309 - 2¹⁵ = 568541 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (601319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 300654 + 300655.

It is an arithmetic number, because the mean of its divisors is an integer number (300655).

2⁶⁰¹³⁰⁹ is an apocalyptic number.

It is an amenable number.

601309 is a deficient number, since it is larger than the sum of its proper divisors (1).

601309 is an equidigital number, since it uses as much as digits as its factorization.

601309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 601309 is about 775.4411647572. The cubic root of 601309 is about 84.4045582768.

It can be divided in two parts, 60 and 1309, that added together give a square (1369 = 37²).

The spelling of 601309 in words is "six hundred one thousand, three hundred nine".