513842309 has 2 divisors, whose sum is σ = 513842310. Its totient is φ = 513842308.

The previous prime is 513842249. The next prime is 513842311. The reversal of 513842309 is 903248315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363093025 + 150749284 = 19055^2 + 12278^2 .

It is a cyclic number.

It is not a de Polignac number, because 513842309 - 2¹⁶ = 513776773 is a prime.

Together with 513842311, 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 (513842359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256921154 + 256921155.

It is an arithmetic number, because the mean of its divisors is an integer number (256921155).

Almost surely, 2^513842309 is an apocalyptic number.

It is an amenable number.

513842309 is a deficient number, since it is larger than the sum of its proper divisors (1).

513842309 is an equidigital number, since it uses as much as digits as its factorization.

513842309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 513842309 is about 22668.0901048147. The cubic root of 513842309 is about 800.9583873461.

The spelling of 513842309 in words is "five hundred thirteen million, eight hundred forty-two thousand, three hundred nine".