506555005 has 24 divisors (see below), whose sum is σ = 672532056. Its totient is φ = 365988480.

The previous prime is 506554999. The next prime is 506555011. The reversal of 506555005 is 500555605.

It is an interprime number because it is at equal distance from previous prime (506554999) and next prime (506555011).

It can be written as a sum of positive squares in 4 ways, for example, as 152324964 + 354230041 = 12342^2 + 18821^2 .

It is not a de Polignac number, because 506555005 - 2⁹ = 506554493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92319 + ... + 97651.

It is an arithmetic number, because the mean of its divisors is an integer number (28022169).

Almost surely, 2^506555005 is an apocalyptic number.

506555005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506555005 is a deficient number, since it is larger than the sum of its proper divisors (165977051).

506555005 is a wasteful number, since it uses less digits than its factorization.

506555005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 31.

The square root of 506555005 is about 22506.7768683124. The cubic root of 506555005 is about 797.1539521253.

The spelling of 506555005 in words is "five hundred six million, five hundred fifty-five thousand, five".