506520 has 128 divisors (see below), whose sum is σ = 1958400. Its totient is φ = 114048.

The previous prime is 506507. The next prime is 506531. The reversal of 506520 is 25605.

506520 is nontrivially palindromic in base 11.

506520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 506493 and 506502.

It is a congruent number.

It is an unprimeable number.

506520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7527 + ... + 7593.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2⁵⁰⁶⁵²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979200).

506520 is an abundant number, since it is smaller than the sum of its proper divisors (1451880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506520 is a wasteful number, since it uses less digits than its factorization.

506520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 506520 is about 711.7021849060. The cubic root of 506520 is about 79.7135589515.

The spelling of 506520 in words is "five hundred six thousand, five hundred twenty".