506512647 has 48 divisors (see below), whose sum is σ = 803694528. Its totient is φ = 306408960.

The previous prime is 506512639. The next prime is 506512661. The reversal of 506512647 is 746215605.

It is a happy number.

506512647 is a `hidden beast` number, since 5 + 0 + 6 + 5 + 1 + 2 + 647 = 666.

It is not a de Polignac number, because 506512647 - 2³ = 506512639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506512607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313213 + ... + 314825.

It is an arithmetic number, because the mean of its divisors is an integer number (16743636).

Almost surely, 2^506512647 is an apocalyptic number.

506512647 is a deficient number, since it is larger than the sum of its proper divisors (297181881).

506512647 is a wasteful number, since it uses less digits than its factorization.

506512647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 506512647 is about 22505.8358431763. The cubic root of 506512647 is about 797.1317322360.

The spelling of 506512647 in words is "five hundred six million, five hundred twelve thousand, six hundred forty-seven".