505525800 has 96 divisors (see below), whose sum is σ = 1687704480. Its totient is φ = 124435200.

The previous prime is 505525793. The next prime is 505525807. The reversal of 505525800 is 8525505.

It is an interprime number because it is at equal distance from previous prime (505525793) and next prime (505525807).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (505525807) 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 23 ways as a sum of consecutive naturals, for example, 24606 + ... + 40205.

It is an arithmetic number, because the mean of its divisors is an integer number (17580255).

Almost surely, 2^505525800 is an apocalyptic number.

505525800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505525800 is an abundant number, since it is smaller than the sum of its proper divisors (1182178680).

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

505525800 is a wasteful number, since it uses less digits than its factorization.

505525800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64843 (or 64834 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 505525800 is about 22483.9009070935. The cubic root of 505525800 is about 796.6137073351.

The spelling of 505525800 in words is "five hundred five million, five hundred twenty-five thousand, eight hundred".