505601000 has 32 divisors (see below), whose sum is σ = 1183108680. Its totient is φ = 202240000.

The previous prime is 505600951. The next prime is 505601059. The reversal of 505601000 is 106505.

It can be written as a sum of positive squares in 4 ways, for example, as 77193796 + 428407204 = 8786^2 + 20698^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 505601000.

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, 251801 + ... + 253800.

Almost surely, 2^505601000 is an apocalyptic number.

505601000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505601000 is an abundant number, since it is smaller than the sum of its proper divisors (677507680).

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

505601000 is a wasteful number, since it uses less digits than its factorization.

505601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505622 (or 505608 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 505601000 is about 22485.5731525794. The cubic root of 505601000 is about 796.6532057349.

Adding to 505601000 its reverse (106505), we get a palindrome (505707505).

The spelling of 505601000 in words is "five hundred five million, six hundred one thousand".