506560610560 has 36 divisors (see below), whose sum is σ = 1213370965548. Its totient is φ = 202624243712.

The previous prime is 506560610551. The next prime is 506560610587. The reversal of 506560610560 is 65016065605.

It can be written as a sum of positive squares in 2 ways, for example, as 398777094144 + 107783516416 = 631488^2 + 328304^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 197873959 + ... + 197876518.

It is an arithmetic number, because the mean of its divisors is an integer number (33704749043).

Almost surely, 2^506560610560 is an apocalyptic number.

It is an amenable number.

506560610560 is an abundant number, since it is smaller than the sum of its proper divisors (706810354988).

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

506560610560 is an equidigital number, since it uses as much as digits as its factorization.

506560610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395750498 (or 395750484 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 506560610560 in words is "five hundred six billion, five hundred sixty million, six hundred ten thousand, five hundred sixty".