505606677 has 24 divisors (see below), whose sum is σ = 728629824. Its totient is φ = 311262336.

The previous prime is 505606669. The next prime is 505606693. The reversal of 505606677 is 776606505.

It is not a de Polignac number, because 505606677 - 2³ = 505606669 is a prime.

It is a super-2 number, since 2×505606677² = 511276223653964658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505606627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53673 + ... + 62385.

It is an arithmetic number, because the mean of its divisors is an integer number (30359576).

Almost surely, 2^505606677 is an apocalyptic number.

It is an amenable number.

505606677 is a deficient number, since it is larger than the sum of its proper divisors (223023147).

505606677 is a wasteful number, since it uses less digits than its factorization.

505606677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 505606677 is about 22485.6993887226. The cubic root of 505606677 is about 796.6561873900.

The spelling of 505606677 in words is "five hundred five million, six hundred six thousand, six hundred seventy-seven".