505165500 has 432 divisors, whose sum is σ = 1942012800. Its totient is φ = 110073600.

The previous prime is 505165417. The next prime is 505165501. The reversal of 505165500 is 5561505.

505165500 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 655 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505165501) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6394461 + ... + 6394539.

It is an arithmetic number, because the mean of its divisors is an integer number (4495400).

Almost surely, 2^505165500 is an apocalyptic number.

505165500 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 505165500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971006400).

505165500 is an abundant number, since it is smaller than the sum of its proper divisors (1436847300).

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

505165500 is a wasteful number, since it uses less digits than its factorization.

505165500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 505165500 is about 22475.8870792679. The cubic root of 505165500 is about 796.4244073136.

The spelling of 505165500 in words is "five hundred five million, one hundred sixty-five thousand, five hundred".