513101317 has 8 divisors (see below), whose sum is σ = 525022200. Its totient is φ = 501293760.

The previous prime is 513101299. The next prime is 513101339. The reversal of 513101317 is 713101315.

It can be written as a sum of positive squares in 4 ways, for example, as 3876961 + 509224356 = 1969^2 + 22566^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513101317 - 2⁷ = 513101189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513101377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19138 + ... + 37315.

It is an arithmetic number, because the mean of its divisors is an integer number (65627775).

Almost surely, 2^513101317 is an apocalyptic number.

It is an amenable number.

513101317 is a deficient number, since it is larger than the sum of its proper divisors (11920883).

513101317 is a wasteful number, since it uses less digits than its factorization.

513101317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56663.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 513101317 is about 22651.7398228039. The cubic root of 513101317 is about 800.5731918200.

The spelling of 513101317 in words is "five hundred thirteen million, one hundred one thousand, three hundred seventeen".