506616577 has 8 divisors (see below), whose sum is σ = 509279400. Its totient is φ = 503960064.

The previous prime is 506616571. The next prime is 506616581. The reversal of 506616577 is 775616605.

It can be written as a sum of positive squares in 4 ways, for example, as 50751376 + 455865201 = 7124^2 + 21351^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506616577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506616571) 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 7 ways as a sum of consecutive naturals, for example, 267249 + ... + 269137.

It is an arithmetic number, because the mean of its divisors is an integer number (63659925).

Almost surely, 2^506616577 is an apocalyptic number.

It is an amenable number.

506616577 is a deficient number, since it is larger than the sum of its proper divisors (2662823).

506616577 is a wasteful number, since it uses less digits than its factorization.

506616577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155.

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 506616577 is about 22508.1446814259. The cubic root of 506616577 is about 797.1862489632.

The spelling of 506616577 in words is "five hundred six million, six hundred sixteen thousand, five hundred seventy-seven".