505105501100 has 108 divisors (see below), whose sum is σ = 1165463697216. Its totient is φ = 189974983680.

The previous prime is 505105501097. The next prime is 505105501127. The reversal of 505105501100 is 1105501505.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32273477 + ... + 32289123.

Almost surely, 2^505105501100 is an apocalyptic number.

505105501100 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 505105501100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582731848608).

505105501100 is an abundant number, since it is smaller than the sum of its proper divisors (660358196116).

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

505105501100 is a wasteful number, since it uses less digits than its factorization.

505105501100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16812 (or 16788 counting only the distinct ones).

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

The spelling of 505105501100 in words is "five hundred five billion, one hundred five million, five hundred one thousand, one hundred".