513301317 has 16 divisors (see below), whose sum is σ = 707266560. Its totient is φ = 330793200.

The previous prime is 513301309. The next prime is 513301319. The reversal of 513301317 is 713103315.

It is not a de Polignac number, because 513301317 - 2³ = 513301309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513301319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98934 + ... + 103992.

It is an arithmetic number, because the mean of its divisors is an integer number (44204160).

Almost surely, 2^513301317 is an apocalyptic number.

It is an amenable number.

513301317 is a deficient number, since it is larger than the sum of its proper divisors (193965243).

513301317 is a wasteful number, since it uses less digits than its factorization.

513301317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 513301317 is about 22656.1540646245. The cubic root of 513301317 is about 800.6771958663.

The spelling of 513301317 in words is "five hundred thirteen million, three hundred one thousand, three hundred seventeen".