513517 has 4 divisors (see below), whose sum is σ = 523260. Its totient is φ = 503776.

The previous prime is 513511. The next prime is 513529. The reversal of 513517 is 715315.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 715315 = 5 ⋅143063.

It can be written as a sum of positive squares in 2 ways, for example, as 329476 + 184041 = 574^2 + 429^2 .

It is a cyclic number.

It is not a de Polignac number, because 513517 - 2³ = 513509 is a prime.

It is a Duffinian number.

513517 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4792 + ... + 4897.

It is an arithmetic number, because the mean of its divisors is an integer number (130815).

2⁵¹³⁵¹⁷ is an apocalyptic number.

It is an amenable number.

513517 is a deficient number, since it is larger than the sum of its proper divisors (9743).

513517 is an equidigital number, since it uses as much as digits as its factorization.

513517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742.

The product of its digits is 525, while the sum is 22.

The square root of 513517 is about 716.6010047439. The cubic root of 513517 is about 80.0789325118.

The spelling of 513517 in words is "five hundred thirteen thousand, five hundred seventeen".