505910509100 has 72 divisors (see below), whose sum is σ = 1156220372160. Its totient is φ = 191611552320.

The previous prime is 505910509099. The next prime is 505910509103. The reversal of 505910509100 is 1905019505.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (505910509103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3553487 + ... + 3693113.

It is an arithmetic number, because the mean of its divisors is an integer number (16058616280).

Almost surely, 2^505910509100 is an apocalyptic number.

505910509100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505910509100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578110186080).

505910509100 is an abundant number, since it is smaller than the sum of its proper divisors (650309863060).

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

505910509100 is a wasteful number, since it uses less digits than its factorization.

505910509100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141567 (or 141560 counting only the distinct ones).

The product of its (nonzero) digits is 10125, while the sum is 35.

The spelling of 505910509100 in words is "five hundred five billion, nine hundred ten million, five hundred nine thousand, one hundred".