506356305675 has 48 divisors (see below), whose sum is σ = 920474038272. Its totient is φ = 243572918400.

The previous prime is 506356305649. The next prime is 506356305737. The reversal of 506356305675 is 576503653605.

It is not a de Polignac number, because 506356305675 - 2¹⁰ = 506356304651 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2311624 + ... + 2521173.

It is an arithmetic number, because the mean of its divisors is an integer number (19176542464).

Almost surely, 2^506356305675 is an apocalyptic number.

506356305675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

506356305675 is a deficient number, since it is larger than the sum of its proper divisors (414117732597).

506356305675 is a wasteful number, since it uses less digits than its factorization.

506356305675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832948 (or 4832943 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 51.

The spelling of 506356305675 in words is "five hundred six billion, three hundred fifty-six million, three hundred five thousand, six hundred seventy-five".