505131368742 has 384 divisors, whose sum is σ = 1606133587968. Its totient is φ = 110307225600.

The previous prime is 505131368741. The next prime is 505131368857. The reversal of 505131368742 is 247863131505.

It is a happy number.

505131368742 is a `hidden beast` number, since 5 + 0 + 513 + 1 + 3 + 68 + 74 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505131368741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9468888 + ... + 9522084.

It is an arithmetic number, because the mean of its divisors is an integer number (4182639552).

Almost surely, 2^505131368742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505131368742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803066793984).

505131368742 is an abundant number, since it is smaller than the sum of its proper divisors (1101002219226).

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

505131368742 is a wasteful number, since it uses less digits than its factorization.

505131368742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53284 (or 53281 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 505131368742 in words is "five hundred five billion, one hundred thirty-one million, three hundred sixty-eight thousand, seven hundred forty-two".