505530024012 has 144 divisors (see below), whose sum is σ = 1475562291840. Its totient is φ = 144544518144.

The previous prime is 505530023987. The next prime is 505530024017. The reversal of 505530024012 is 210420035505.

It is a happy number.

It is a super-2 number, since 2×505530024012² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505530024017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226368 + ... + 1030680.

It is an arithmetic number, because the mean of its divisors is an integer number (10246960360).

Almost surely, 2^505530024012 is an apocalyptic number.

505530024012 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505530024012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737781145920).

505530024012 is an abundant number, since it is smaller than the sum of its proper divisors (970032267828).

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

505530024012 is a wasteful number, since it uses less digits than its factorization.

505530024012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804432 (or 804427 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 505530024012 its reverse (210420035505), we get a palindrome (715950059517).

The spelling of 505530024012 in words is "five hundred five billion, five hundred thirty million, twenty-four thousand, twelve".