506613 has 8 divisors (see below), whose sum is σ = 690048. Its totient is φ = 330464.

The previous prime is 506609. The next prime is 506629. The reversal of 506613 is 316605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506613 - 2² = 506609 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 506613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1656 + ... + 1937.

It is an arithmetic number, because the mean of its divisors is an integer number (86256).

2⁵⁰⁶⁶¹³ is an apocalyptic number.

It is an amenable number.

506613 is a deficient number, since it is larger than the sum of its proper divisors (183435).

506613 is a wasteful number, since it uses less digits than its factorization.

506613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 506613 is about 711.7675182249. The cubic root of 506613 is about 79.7184372763.

The spelling of 506613 in words is "five hundred six thousand, six hundred thirteen".