513017 has 2 divisors, whose sum is σ = 513018. Its totient is φ = 513016.

The previous prime is 513013. The next prime is 513031. The reversal of 513017 is 710315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 512656 + 361 = 716^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 513017 - 2² = 513013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 512986 and 513004.

It is not a weakly prime, because it can be changed into another prime (513013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256508 + 256509.

It is an arithmetic number, because the mean of its divisors is an integer number (256509).

2⁵¹³⁰¹⁷ is an apocalyptic number.

It is an amenable number.

513017 is a deficient number, since it is larger than the sum of its proper divisors (1).

513017 is an equidigital number, since it uses as much as digits as its factorization.

513017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 513017 is about 716.2520506079. The cubic root of 513017 is about 80.0529337175.

The spelling of 513017 in words is "five hundred thirteen thousand, seventeen".