513909 has 24 divisors (see below), whose sum is σ = 842400. Its totient is φ = 299040.

The previous prime is 513899. The next prime is 513917. The reversal of 513909 is 909315.

It is not a de Polignac number, because 513909 - 2⁷ = 513781 is a prime.

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 513909.

It is not an unprimeable number, because it can be changed into a prime (513109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2782 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2⁵¹³⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

513909 is a deficient number, since it is larger than the sum of its proper divisors (328491).

513909 is a wasteful number, since it uses less digits than its factorization.

513909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 513909 is about 716.8744659981. The cubic root of 513909 is about 80.0993037669.

The spelling of 513909 in words is "five hundred thirteen thousand, nine hundred nine".