506053540 has 24 divisors (see below), whose sum is σ = 1082765880. Its totient is φ = 198601728.

The previous prime is 506053511. The next prime is 506053553. The reversal of 506053540 is 45350605.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 504182116 = 1368^2 + 22454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 506053499 and 506053508.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237645 + ... + 239764.

It is an arithmetic number, because the mean of its divisors is an integer number (45115245).

Almost surely, 2^506053540 is an apocalyptic number.

It is an amenable number.

506053540 is an abundant number, since it is smaller than the sum of its proper divisors (576712340).

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

506053540 is a wasteful number, since it uses less digits than its factorization.

506053540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477471 (or 477469 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 506053540 is about 22495.6337985841. The cubic root of 506053540 is about 796.8908172998.

It can be divided in two parts, 50605 and 3540, that added together give a palindrome (54145).

The spelling of 506053540 in words is "five hundred six million, fifty-three thousand, five hundred forty".