513459 has 12 divisors (see below), whose sum is σ = 769496. Its totient is φ = 342144.

The previous prime is 513439. The next prime is 513473. The reversal of 513459 is 954315.

It is not a de Polignac number, because 513459 - 2⁵ = 513427 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513419) 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 11 ways as a sum of consecutive naturals, for example, 814 + ... + 1299.

2⁵¹³⁴⁵⁹ is an apocalyptic number.

513459 is a deficient number, since it is larger than the sum of its proper divisors (256037).

513459 is an equidigital number, since it uses as much as digits as its factorization.

513459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2116 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 513459 is about 716.5605347771. The cubic root of 513459 is about 80.0759175172.

The spelling of 513459 in words is "five hundred thirteen thousand, four hundred fifty-nine".