506656377 has 20 divisors (see below), whose sum is σ = 758256180. Its totient is φ = 337146624.

The previous prime is 506656373. The next prime is 506656379. The reversal of 506656377 is 773656605.

506656377 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 5 + 637 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84107241 + 422549136 = 9171^2 + 20556^2 .

It is not a de Polignac number, because 506656377 - 2² = 506656373 is a prime.

It is a super-2 number, since 2×506656377² = 513401368709532258, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506656373) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40593 + ... + 51585.

It is an arithmetic number, because the mean of its divisors is an integer number (37912809).

Almost surely, 2^506656377 is an apocalyptic number.

It is an amenable number.

506656377 is a deficient number, since it is larger than the sum of its proper divisors (251599803).

506656377 is a wasteful number, since it uses less digits than its factorization.

506656377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11574 (or 11565 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 506656377 is about 22509.0287884662. The cubic root of 506656377 is about 797.2071241729.

The spelling of 506656377 in words is "five hundred six million, six hundred fifty-six thousand, three hundred seventy-seven".