506312681 has 16 divisors (see below), whose sum is σ = 584475264. Its totient is φ = 429627264.

The previous prime is 506312629. The next prime is 506312687. The reversal of 506312681 is 186213605.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 506312681 - 2⁶ = 506312617 is a prime.

It is a super-2 number, since 2×506312681² = 512705061882815522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506312687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 654611 + ... + 655383.

It is an arithmetic number, because the mean of its divisors is an integer number (36529704).

Almost surely, 2^506312681 is an apocalyptic number.

It is an amenable number.

506312681 is a deficient number, since it is larger than the sum of its proper divisors (78162583).

506312681 is a wasteful number, since it uses less digits than its factorization.

506312681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 506312681 is about 22501.3928679982. The cubic root of 506312681 is about 797.0268186168.

The spelling of 506312681 in words is "five hundred six million, three hundred twelve thousand, six hundred eighty-one".