506561601 has 64 divisors (see below), whose sum is σ = 859815936. Its totient is φ = 258163200.

The previous prime is 506561581. The next prime is 506561609. The reversal of 506561601 is 106165605.

It is not a de Polignac number, because 506561601 - 2⁶ = 506561537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506561609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1869096 + ... + 1869366.

It is an arithmetic number, because the mean of its divisors is an integer number (13434624).

Almost surely, 2^506561601 is an apocalyptic number.

It is an amenable number.

506561601 is a deficient number, since it is larger than the sum of its proper divisors (353254335).

506561601 is a wasteful number, since it uses less digits than its factorization.

506561601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 506561601 is about 22506.9234014780. The cubic root of 506561601 is about 797.1574121014.

It can be divided in two parts, 5065 and 61601, that added together give a palindrome (66666).

The spelling of 506561601 in words is "five hundred six million, five hundred sixty-one thousand, six hundred one".