505556001000 has 96 divisors (see below), whose sum is σ = 1708779313800. Its totient is φ = 134814931200.

The previous prime is 505556000977. The next prime is 505556001023. The reversal of 505556001000 is 100655505.

505556001000 is a `hidden beast` number, since 5 + 0 + 5 + 55 + 600 + 1 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (505556000977) and next prime (505556001023).

It can be written as a sum of positive squares in 4 ways, for example, as 81372126564 + 424183874436 = 285258^2 + 651294^2 .

It is a super-2 number, since 2×505556001000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28077445 + ... + 28095444.

Almost surely, 2^505556001000 is an apocalyptic number.

505556001000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505556001000 is an abundant number, since it is smaller than the sum of its proper divisors (1203223312800).

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

505556001000 is a wasteful number, since it uses less digits than its factorization.

505556001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56172916 (or 56172899 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

Adding to 505556001000 its reverse (100655505), we get a palindrome (505656656505).

The spelling of 505556001000 in words is "five hundred five billion, five hundred fifty-six million, one thousand".