506085580605 has 32 divisors (see below), whose sum is σ = 907223695488. Its totient is φ = 238743072000.

The previous prime is 506085580597. The next prime is 506085580639.

506085580605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506085580605 - 2³ = 506085580597 is a prime.

It is a super-2 number, since 2×506085580605² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41442346 + ... + 41454555.

It is an arithmetic number, because the mean of its divisors is an integer number (28350740484).

Almost surely, 2^506085580605 is an apocalyptic number.

506085580605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506085580605 is a deficient number, since it is larger than the sum of its proper divisors (401138114883).

506085580605 is a wasteful number, since it uses less digits than its factorization.

506085580605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82896957.

The product of its (nonzero) digits is 1440000, while the sum is 48.

The spelling of 506085580605 in words is "five hundred six billion, eighty-five million, five hundred eighty thousand, six hundred five".