506085903 has 24 divisors (see below), whose sum is σ = 777018528. Its totient is φ = 316311552.

The previous prime is 506085887. The next prime is 506085949. The reversal of 506085903 is 309580605.

506085903 is a `hidden beast` number, since 5 + 0 + 60 + 8 + 590 + 3 = 666.

It is not a de Polignac number, because 506085903 - 2⁴ = 506085887 is a prime.

It is a super-2 number, since 2×506085903² = 512245882430650818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506085953) 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, 33951 + ... + 46527.

It is an arithmetic number, because the mean of its divisors is an integer number (32375772).

Almost surely, 2^506085903 is an apocalyptic number.

506085903 is a deficient number, since it is larger than the sum of its proper divisors (270932625).

506085903 is a wasteful number, since it uses less digits than its factorization.

506085903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12863 (or 12860 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 506085903 is about 22496.3531044478. The cubic root of 506085903 is about 796.9078044535.

The spelling of 506085903 in words is "five hundred six million, eighty-five thousand, nine hundred three".