513322319 has 2 divisors, whose sum is σ = 513322320. Its totient is φ = 513322318.

The previous prime is 513322307. The next prime is 513322339. The reversal of 513322319 is 913223315.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 513322319 - 2²⁰ = 512273743 is a prime.

It is a super-2 number, since 2×513322319² = 526999606367075522, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 513322291 and 513322300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513322339) 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, 256661159 + 256661160.

It is an arithmetic number, because the mean of its divisors is an integer number (256661160).

Almost surely, 2^513322319 is an apocalyptic number.

513322319 is a deficient number, since it is larger than the sum of its proper divisors (1).

513322319 is an equidigital number, since it uses as much as digits as its factorization.

513322319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4860, while the sum is 29.

The square root of 513322319 is about 22656.6175542599. The cubic root of 513322319 is about 800.6881157637.

The spelling of 513322319 in words is "five hundred thirteen million, three hundred twenty-two thousand, three hundred nineteen".