505105600 has 42 divisors (see below), whose sum is σ = 1242879404. Its totient is φ = 202041600.

The previous prime is 505105597. The next prime is 505105603. The reversal of 505105600 is 6501505.

It is an interprime number because it is at equal distance from previous prime (505105597) and next prime (505105603).

It is not an unprimeable number, because it can be changed into a prime (505105603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156246 + ... + 159445.

Almost surely, 2^505105600 is an apocalyptic number.

505105600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505105600 is an abundant number, since it is smaller than the sum of its proper divisors (737773804).

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

505105600 is a wasteful number, since it uses less digits than its factorization.

505105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315713 (or 315698 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 505105600 is about 22474.5545005902. The cubic root of 505105600 is about 796.3929273942.

The spelling of 505105600 in words is "five hundred five million, one hundred five thousand, six hundred".