506460527677 has 8 divisors (see below), whose sum is σ = 558721933560. Its totient is φ = 456099536640.

The previous prime is 506460527663. The next prime is 506460527707. The reversal of 506460527677 is 776725064605.

It can be written as a sum of positive squares in 4 ways, for example, as 91800516196 + 414660011481 = 302986^2 + 643941^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 506460527677 - 2²⁷ = 506326309949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506460527647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475103152 + ... + 475104217.

It is an arithmetic number, because the mean of its divisors is an integer number (69840241695).

Almost surely, 2^506460527677 is an apocalyptic number.

It is an amenable number.

506460527677 is a deficient number, since it is larger than the sum of its proper divisors (52261405883).

506460527677 is a wasteful number, since it uses less digits than its factorization.

506460527677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950207423.

The product of its (nonzero) digits is 14817600, while the sum is 55.

The spelling of 506460527677 in words is "five hundred six billion, four hundred sixty million, five hundred twenty-seven thousand, six hundred seventy-seven".