513209 has 4 divisors (see below), whose sum is σ = 540240. Its totient is φ = 486180.

The previous prime is 513203. The next prime is 513239. The reversal of 513209 is 902315.

513209 = T₃₂ + T₃₃ + ... + T₁₄₅.

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, and also an emirpimes, since its reverse is a distinct semiprime: 902315 = 5 ⋅180463.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513203) 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, 13487 + ... + 13524.

It is an arithmetic number, because the mean of its divisors is an integer number (135060).

2⁵¹³²⁰⁹ is an apocalyptic number.

It is an amenable number.

513209 is a deficient number, since it is larger than the sum of its proper divisors (27031).

513209 is a wasteful number, since it uses less digits than its factorization.

513209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27030.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 513209 is about 716.3860690996. The cubic root of 513209 is about 80.0629192516.

The spelling of 513209 in words is "five hundred thirteen thousand, two hundred nine".