505755601742347 has 24 divisors (see below), whose sum is σ = 577616006595600. Its totient is φ = 441967801746240.

The previous prime is 505755601742317. The next prime is 505755601742371. The reversal of 505755601742347 is 743247106557505.

It is a happy number.

It is not a de Polignac number, because 505755601742347 - 2¹¹ = 505755601740299 is a prime.

It is a super-4 number, since 4×505755601742347⁴ (a number of 60 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505755601742317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316672572 + ... + 318265657.

It is an arithmetic number, because the mean of its divisors is an integer number (24067333608150).

Almost surely, 2^{505755601742347} is an apocalyptic number.

505755601742347 is a deficient number, since it is larger than the sum of its proper divisors (71860404853253).

505755601742347 is a wasteful number, since it uses less digits than its factorization.

505755601742347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634938507 (or 634938496 counting only the distinct ones).

The product of its (nonzero) digits is 123480000, while the sum is 61.

The spelling of 505755601742347 in words is "five hundred five trillion, seven hundred fifty-five billion, six hundred one million, seven hundred forty-two thousand, three hundred forty-seven".