505610000100 has 72 divisors (see below), whose sum is σ = 1625442527520. Its totient is φ = 134829332640.

The previous prime is 505610000033. The next prime is 505610000117. The reversal of 505610000100 is 1000016505.

505610000100 is a `hidden beast` number, since 5 + 0 + 561 + 0 + 0 + 0 + 0 + 100 = 666.

It is a super-2 number, since 2×505610000100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 93628782 + ... + 93634181.

It is an arithmetic number, because the mean of its divisors is an integer number (22575590660).

Almost surely, 2^505610000100 is an apocalyptic number.

505610000100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505610000100 is an abundant number, since it is smaller than the sum of its proper divisors (1119832527420).

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

505610000100 is a wasteful number, since it uses less digits than its factorization.

505610000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187262986 (or 187262973 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 505610000100 its reverse (1000016505), we get a palindrome (506610016605).

The spelling of 505610000100 in words is "five hundred five billion, six hundred ten million, one hundred", and thus it is an aban number.