513363317 has 12 divisors (see below), whose sum is σ = 531930240. Its totient is φ = 495425880.

The previous prime is 513363239. The next prime is 513363341. The reversal of 513363317 is 713363315.

It is not a de Polignac number, because 513363317 - 2⁸ = 513363061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513363397) 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 in 11 ways as a sum of consecutive naturals, for example, 594428 + ... + 595290.

It is an arithmetic number, because the mean of its divisors is an integer number (44327520).

Almost surely, 2^513363317 is an apocalyptic number.

It is an amenable number.

513363317 is a deficient number, since it is larger than the sum of its proper divisors (18566923).

513363317 is an equidigital number, since it uses as much as digits as its factorization.

513363317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1513 counting only the distinct ones).

The product of its digits is 17010, while the sum is 32.

The square root of 513363317 is about 22657.5223049653. The cubic root of 513363317 is about 800.7094316350.

The spelling of 513363317 in words is "five hundred thirteen million, three hundred sixty-three thousand, three hundred seventeen".