506064267 has 12 divisors (see below), whose sum is σ = 758055480. Its totient is φ = 337376016.

The previous prime is 506064257. The next prime is 506064277. The reversal of 506064267 is 762460605.

506064267 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 642 + 6 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (506064257) and next prime (506064277).

It is not a de Polignac number, because 506064267 - 2⁶ = 506064203 is a prime.

It is a super-2 number, since 2×506064267² = 512202084668494578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506064257) 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 11 ways as a sum of consecutive naturals, for example, 1041042 + ... + 1041527.

It is an arithmetic number, because the mean of its divisors is an integer number (63171290).

Almost surely, 2^506064267 is an apocalyptic number.

506064267 is a deficient number, since it is larger than the sum of its proper divisors (251991213).

506064267 is an equidigital number, since it uses as much as digits as its factorization.

506064267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082584 (or 2082572 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 506064267 is about 22495.8722213654. The cubic root of 506064267 is about 796.8964479210.

The spelling of 506064267 in words is "five hundred six million, sixty-four thousand, two hundred sixty-seven".