505551100100 has 18 divisors (see below), whose sum is σ = 1097045887434. Its totient is φ = 202220440000.

The previous prime is 505551100079. The next prime is 505551100111. The reversal of 505551100100 is 1001155505.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 87531956164 + 418019143936 = 295858^2 + 646544^2 .

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 5 ways as a sum of consecutive naturals, for example, 2527755401 + ... + 2527755600.

Almost surely, 2^505551100100 is an apocalyptic number.

505551100100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505551100100 is an abundant number, since it is smaller than the sum of its proper divisors (591494787334).

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

505551100100 is a wasteful number, since it uses less digits than its factorization.

505551100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055511015 (or 5055511008 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 23.

Adding to 505551100100 its reverse (1001155505), we get a palindrome (506552255605).

The spelling of 505551100100 in words is "five hundred five billion, five hundred fifty-one million, one hundred thousand, one hundred".