513301309 has 2 divisors, whose sum is σ = 513301310. Its totient is φ = 513301308.

The previous prime is 513301301. The next prime is 513301319. The reversal of 513301309 is 903103315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 499388409 + 13912900 = 22347^2 + 3730^2 .

It is a cyclic number.

It is not a de Polignac number, because 513301309 - 2³ = 513301301 is a prime.

It is a super-2 number, since 2×513301309² = 526956467642226962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513301301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256650654 + 256650655.

It is an arithmetic number, because the mean of its divisors is an integer number (256650655).

Almost surely, 2^513301309 is an apocalyptic number.

It is an amenable number.

513301309 is a deficient number, since it is larger than the sum of its proper divisors (1).

513301309 is an equidigital number, since it uses as much as digits as its factorization.

513301309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 25.

The square root of 513301309 is about 22656.1538880720. The cubic root of 513301309 is about 800.6771917067.

The spelling of 513301309 in words is "five hundred thirteen million, three hundred one thousand, three hundred nine".