506312811 has 24 divisors (see below), whose sum is σ = 749136960. Its totient is φ = 329371776.

The previous prime is 506312809. The next prime is 506312837. The reversal of 506312811 is 118213605.

506312811 is a `hidden beast` number, since 5 + 0 + 631 + 28 + 1 + 1 = 666.

It is not a de Polignac number, because 506312811 - 2¹ = 506312809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506312861) by changing a digit.

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, 156175 + ... + 159383.

It is an arithmetic number, because the mean of its divisors is an integer number (31214040).

Almost surely, 2^506312811 is an apocalyptic number.

506312811 is a deficient number, since it is larger than the sum of its proper divisors (242824149).

506312811 is a wasteful number, since it uses less digits than its factorization.

506312811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 506312811 is about 22501.3957567081. The cubic root of 506312811 is about 797.0268868312.

The spelling of 506312811 in words is "five hundred six million, three hundred twelve thousand, eight hundred eleven".