513609 has 4 divisors (see below), whose sum is σ = 684816. Its totient is φ = 342404.

The previous prime is 513593. The next prime is 513631. The reversal of 513609 is 906315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 513609 - 2⁴ = 513593 is a prime.

It is a super-3 number, since 3×513609³ = 406461233324176587, which contains 333 as substring.

It is a D-number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513609.

It is not an unprimeable number, because it can be changed into a prime (513649) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 85599 + ... + 85604.

It is an arithmetic number, because the mean of its divisors is an integer number (171204).

2⁵¹³⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

513609 is a deficient number, since it is larger than the sum of its proper divisors (171207).

513609 is a wasteful number, since it uses less digits than its factorization.

513609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171206.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 513609 is about 716.6651937969. The cubic root of 513609 is about 80.0837144514.

The spelling of 513609 in words is "five hundred thirteen thousand, six hundred nine".