505755601742331 has 12 divisors (see below), whose sum is σ = 762298298278608. Its totient is φ = 322510818502224.

The previous prime is 505755601742317. The next prime is 505755601742371. The reversal of 505755601742331 is 133247106557505.

505755601742331 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 5 + 5 + 601 + 7 + 4 + 23 + 3 + 1 = 666.

It is not a de Polignac number, because 505755601742331 - 2¹¹ = 505755601740283 is a prime.

It is a super-2 number, since 2×505755601742331² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505755601742371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1221631888060 + ... + 1221631888473.

It is an arithmetic number, because the mean of its divisors is an integer number (63524858189884).

Almost surely, 2^{505755601742331} is an apocalyptic number.

505755601742331 is a deficient number, since it is larger than the sum of its proper divisors (256542696536277).

505755601742331 is a wasteful number, since it uses less digits than its factorization.

505755601742331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443263776562 (or 2443263776559 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 505755601742331 in words is "five hundred five trillion, seven hundred fifty-five billion, six hundred one million, seven hundred forty-two thousand, three hundred thirty-one".