506505577 has 16 divisors (see below), whose sum is σ = 527005440. Its totient is φ = 486525312.

The previous prime is 506505569. The next prime is 506505581. The reversal of 506505577 is 775505605.

It is a cyclic number.

It is not a de Polignac number, because 506505577 - 2³ = 506505569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506505547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573178 + ... + 574060.

It is an arithmetic number, because the mean of its divisors is an integer number (32937840).

Almost surely, 2^506505577 is an apocalyptic number.

It is an amenable number.

506505577 is a deficient number, since it is larger than the sum of its proper divisors (20499863).

506505577 is a wasteful number, since it uses less digits than its factorization.

506505577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152.

The product of its (nonzero) digits is 183750, while the sum is 40.

The square root of 506505577 is about 22505.6787722566. The cubic root of 506505577 is about 797.1280233799.

The spelling of 506505577 in words is "five hundred six million, five hundred five thousand, five hundred seventy-seven".