506510331072 has 112 divisors (see below), whose sum is σ = 1349964320640. Its totient is φ = 167601788928.

The previous prime is 506510331049. The next prime is 506510331077. The reversal of 506510331072 is 270133015605.

It is not an unprimeable number, because it can be changed into a prime (506510331077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27625204 + ... + 27643532.

Almost surely, 2^506510331072 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 506510331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674982160320).

506510331072 is an abundant number, since it is smaller than the sum of its proper divisors (843453989568).

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

506510331072 is a wasteful number, since it uses less digits than its factorization.

506510331072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19390 (or 19380 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

Adding to 506510331072 its reverse (270133015605), we get a palindrome (776643346677).

The spelling of 506510331072 in words is "five hundred six billion, five hundred ten million, three hundred thirty-one thousand, seventy-two".