513009 has 24 divisors (see below), whose sum is σ = 898560. Its totient is φ = 275328.

The previous prime is 513001. The next prime is 513013. The reversal of 513009 is 900315.

It is not a de Polignac number, because 513009 - 2³ = 513001 is a prime.

513009 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 512982 and 513000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (37440).

2⁵¹³⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

513009 is a deficient number, since it is larger than the sum of its proper divisors (385551).

513009 is a wasteful number, since it uses less digits than its factorization.

513009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 513009 is about 716.2464659599. The cubic root of 513009 is about 80.0525175996.

The spelling of 513009 in words is "five hundred thirteen thousand, nine".