506251305 has 48 divisors (see below), whose sum is σ = 1010265984. Its totient is φ = 229720320.

The previous prime is 506251271. The next prime is 506251327. The reversal of 506251305 is 503152605.

506251305 is a `hidden beast` number, since 5 + 0 + 625 + 1 + 30 + 5 = 666.

It is not a de Polignac number, because 506251305 - 2¹⁰ = 506250281 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 37290 + ... + 49020.

It is an arithmetic number, because the mean of its divisors is an integer number (21047208).

Almost surely, 2^506251305 is an apocalyptic number.

It is an amenable number.

506251305 is a deficient number, since it is larger than the sum of its proper divisors (504014679).

506251305 is a wasteful number, since it uses less digits than its factorization.

506251305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 11883 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 506251305 is about 22500.0289999813. The cubic root of 506251305 is about 796.9946117108.

The spelling of 506251305 in words is "five hundred six million, two hundred fifty-one thousand, three hundred five".