506610016605 has 48 divisors (see below), whose sum is σ = 1094803991424. Its totient is φ = 210539226240.

The previous prime is 506610016571. The next prime is 506610016639.

506610016605 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (506610016571) and next prime (506610016639).

It is not a de Polignac number, because 506610016605 - 2⁶ = 506610016541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506610016605.

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 47 ways as a sum of consecutive naturals, for example, 73100434 + ... + 73107363.

It is an arithmetic number, because the mean of its divisors is an integer number (22808416488).

Almost surely, 2^506610016605 is an apocalyptic number.

506610016605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506610016605 is an abundant number, since it is smaller than the sum of its proper divisors (588193974819).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506610016605 is a wasteful number, since it uses less digits than its factorization.

506610016605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146207826 (or 146207823 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 506610016605 in words is "five hundred six billion, six hundred ten million, sixteen thousand, six hundred five".