506081052 has 72 divisors (see below), whose sum is σ = 1342976544. Its totient is φ = 160381056.

The previous prime is 506081039. The next prime is 506081053. The reversal of 506081052 is 250180605.

506081052 is a `hidden beast` number, since 5 + 0 + 608 + 1 + 0 + 52 = 666.

It is a super-2 number, since 2×506081052² = 512236062386853408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506081053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141478 + ... + 145010.

It is an arithmetic number, because the mean of its divisors is an integer number (18652452).

Almost surely, 2^506081052 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 506081052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671488272).

506081052 is an abundant number, since it is smaller than the sum of its proper divisors (836895492).

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

506081052 is a wasteful number, since it uses less digits than its factorization.

506081052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 506081052 is about 22496.2452867140. The cubic root of 506081052 is about 796.9052582374.

The spelling of 506081052 in words is "five hundred six million, eighty-one thousand, fifty-two".