506010 has 32 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 132800.

The previous prime is 505979. The next prime is 506047. The reversal of 506010 is 10605.

It is a super-2 number, since 2×506010² = 512092240200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

506010 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 15 ways as a sum of consecutive naturals, for example, 2947 + ... + 3113.

It is an arithmetic number, because the mean of its divisors is an integer number (38556).

2⁵⁰⁶⁰¹⁰ is an apocalyptic number.

506010 is an abundant number, since it is smaller than the sum of its proper divisors (727782).

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

506010 is a wasteful number, since it uses less digits than its factorization.

506010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 506010 is about 711.3437987359. The cubic root of 506010 is about 79.6867962260.

Adding to 506010 its reverse (10605), we get a palindrome (516615).

The spelling of 506010 in words is "five hundred six thousand, ten".