506516096 has 48 divisors (see below), whose sum is σ = 1021698810. Its totient is φ = 250126848.

The previous prime is 506516089. The next prime is 506516141. The reversal of 506516096 is 690615605.

It can be written as a sum of positive squares in only one way, i.e., 424360000 + 82156096 = 20600^2 + 9064^2 .

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 1357766 + ... + 1358138.

Almost surely, 2^506516096 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 506516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510849405).

506516096 is an abundant number, since it is smaller than the sum of its proper divisors (515182714).

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

506516096 is an equidigital number, since it uses as much as digits as its factorization.

506516096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 506516096 is about 22505.9124676161. The cubic root of 506516096 is about 797.1335415368.

The spelling of 506516096 in words is "five hundred six million, five hundred sixteen thousand, ninety-six".