505605050600 has 96 divisors (see below), whose sum is σ = 1278492155640. Its totient is φ = 184836480000.

The previous prime is 505605050591. The next prime is 505605050683. The reversal of 505605050600 is 6050506505.

It can be written as a sum of positive squares in 12 ways, for example, as 52037821924 + 453567228676 = 228118^2 + 673474^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700091 + ... + 1225290.

Almost surely, 2^505605050600 is an apocalyptic number.

505605050600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505605050600 is an abundant number, since it is smaller than the sum of its proper divisors (772887105040).

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

505605050600 is a wasteful number, since it uses less digits than its factorization.

505605050600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925511 (or 1925502 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 505605050600 in words is "five hundred five billion, six hundred five million, fifty thousand, six hundred".