513605 has 8 divisors (see below), whose sum is σ = 621600. Its totient is φ = 407376.

The previous prime is 513593. The next prime is 513631. The reversal of 513605 is 506315.

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 513605 - 2¹⁰ = 512581 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (77700).

2⁵¹³⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

513605 is a deficient number, since it is larger than the sum of its proper divisors (107995).

513605 is a wasteful number, since it uses less digits than its factorization.

513605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 513605 is about 716.6624030881. The cubic root of 513605 is about 80.0835065529.

The spelling of 513605 in words is "five hundred thirteen thousand, six hundred five".