506856658605 has 96 divisors (see below), whose sum is σ = 945077196672. Its totient is φ = 230987919360.

The previous prime is 506856658603. The next prime is 506856658613.

506856658605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506856658605 - 2¹ = 506856658603 is a prime.

It is a hoax number, since the sum of its digits (60) 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 (506856658601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24272449 + ... + 24293321.

It is an arithmetic number, because the mean of its divisors is an integer number (9844554132).

Almost surely, 2^506856658605 is an apocalyptic number.

506856658605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506856658605 is a deficient number, since it is larger than the sum of its proper divisors (438220538067).

506856658605 is a wasteful number, since it uses less digits than its factorization.

506856658605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21707 (or 21696 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 60.

The spelling of 506856658605 in words is "five hundred six billion, eight hundred fifty-six million, six hundred fifty-eight thousand, six hundred five".