506349943605 has 64 divisors (see below), whose sum is σ = 982125527040. Its totient is φ = 245474625600.

The previous prime is 506349943591. The next prime is 506349943609.

506349943605 is a `hidden beast` number, since 50 + 6 + 3 + 499 + 43 + 60 + 5 = 666.

506349943605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506349943605 - 2⁵ = 506349943573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506349943609) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19028860 + ... + 19055450.

It is an arithmetic number, because the mean of its divisors is an integer number (15345711360).

Almost surely, 2^506349943605 is an apocalyptic number.

506349943605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506349943605 is a deficient number, since it is larger than the sum of its proper divisors (475775583435).

506349943605 is a wasteful number, since it uses less digits than its factorization.

506349943605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39439 (or 39433 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 506349943605 in words is "five hundred six billion, three hundred forty-nine million, nine hundred forty-three thousand, six hundred five".