505828125 has 112 divisors (see below), whose sum is σ = 1031236800. Its totient is φ = 243000000.

The previous prime is 505828117. The next prime is 505828129. The reversal of 505828125 is 521828505.

505828125 is a `hidden beast` number, since 50 + 582 + 8 + 1 + 25 = 666.

It is not a de Polignac number, because 505828125 - 2³ = 505828117 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 505828125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505828129) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4640571 + ... + 4640679.

Almost surely, 2^505828125 is an apocalyptic number.

505828125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505828125 is an abundant number, since it is smaller than the sum of its proper divisors (525408675).

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

505828125 is an equidigital number, since it uses as much as digits as its factorization.

505828125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 505828125 is about 22490.6230460608. The cubic root of 505828125 is about 796.7724781601.

The spelling of 505828125 in words is "five hundred five million, eight hundred twenty-eight thousand, one hundred twenty-five".