509613 has 16 divisors (see below), whose sum is σ = 745920. Its totient is φ = 307584.

The previous prime is 509603. The next prime is 509623. The reversal of 509613 is 316905.

It is an interprime number because it is at equal distance from previous prime (509603) and next prime (509623).

It is not a de Polignac number, because 509613 - 2⁵ = 509581 is a prime.

509613 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2758 + ... + 2936.

It is an arithmetic number, because the mean of its divisors is an integer number (46620).

2⁵⁰⁹⁶¹³ is an apocalyptic number.

It is an amenable number.

509613 is a deficient number, since it is larger than the sum of its proper divisors (236307).

509613 is a wasteful number, since it uses less digits than its factorization.

509613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

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

The square root of 509613 is about 713.8718372369. The cubic root of 509613 is about 79.8754833790.

The spelling of 509613 in words is "five hundred nine thousand, six hundred thirteen".