506482512 has 80 divisors (see below), whose sum is σ = 1362621120. Its totient is φ = 161971200.

The previous prime is 506482511. The next prime is 506482519. The reversal of 506482512 is 215284605.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506482511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117939 + ... + 122157.

It is an arithmetic number, because the mean of its divisors is an integer number (17032764).

Almost surely, 2^506482512 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 506482512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681310560).

506482512 is an abundant number, since it is smaller than the sum of its proper divisors (856138608).

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

506482512 is a wasteful number, since it uses less digits than its factorization.

506482512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 506482512 is about 22505.1663401984. The cubic root of 506482512 is about 797.1159234560.

The spelling of 506482512 in words is "five hundred six million, four hundred eighty-two thousand, five hundred twelve".