506005825 has 24 divisors (see below), whose sum is σ = 679831488. Its totient is φ = 371388480.

The previous prime is 506005793. The next prime is 506005831. The reversal of 506005825 is 528500605.

It is not a de Polignac number, because 506005825 - 2⁵ = 506005793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49614 + ... + 58936.

It is an arithmetic number, because the mean of its divisors is an integer number (28326312).

Almost surely, 2^506005825 is an apocalyptic number.

It is an amenable number.

506005825 is a deficient number, since it is larger than the sum of its proper divisors (173825663).

506005825 is a wasteful number, since it uses less digits than its factorization.

506005825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9513 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 506005825 is about 22494.5732344492. The cubic root of 506005825 is about 796.8657706479.

The spelling of 506005825 in words is "five hundred six million, five thousand, eight hundred twenty-five".