506275677 has 24 divisors (see below), whose sum is σ = 762818784. Its totient is φ = 335538288.

The previous prime is 506275639. The next prime is 506275703. The reversal of 506275677 is 776572605.

506275677 is a `hidden beast` number, since 506 + 2 + 75 + 6 + 77 = 666.

It is not a de Polignac number, because 506275677 - 2¹⁰ = 506274653 is a prime.

It is a super-2 number, since 2×506275677² = 512630122243616658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506275607) 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 23 ways as a sum of consecutive naturals, for example, 36018 + ... + 48060.

It is an arithmetic number, because the mean of its divisors is an integer number (31784116).

Almost surely, 2^506275677 is an apocalyptic number.

It is an amenable number.

506275677 is a deficient number, since it is larger than the sum of its proper divisors (256543107).

506275677 is a wasteful number, since it uses less digits than its factorization.

506275677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12231 (or 12219 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The square root of 506275677 is about 22500.5705927650. The cubic root of 506275677 is about 797.0074011698.

The spelling of 506275677 in words is "five hundred six million, two hundred seventy-five thousand, six hundred seventy-seven".