505105055100 has 54 divisors (see below), whose sum is σ = 1583223736640. Its totient is φ = 134694681120.

The previous prime is 505105055099. The next prime is 505105055107. The reversal of 505105055100 is 1550501505.

505105055100 is a `hidden beast` number, since 5 + 0 + 5 + 105 + 0 + 551 + 0 + 0 = 666.

It is a super-2 number, since 2×505105055100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505105055107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 280613020 + ... + 280614819.

Almost surely, 2^505105055100 is an apocalyptic number.

505105055100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505105055100 is an abundant number, since it is smaller than the sum of its proper divisors (1078118681540).

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

505105055100 is a wasteful number, since it uses less digits than its factorization.

505105055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561227859 (or 561227849 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

Adding to 505105055100 its reverse (1550501505), we get a palindrome (506655556605).

It can be divided in two parts, 50510 and 5055100, that added together give a triangular number (5105610 = T₃₁₉₅).

The spelling of 505105055100 in words is "five hundred five billion, one hundred five million, fifty-five thousand, one hundred".