505287818896 has 135 divisors (see below), whose sum is σ = 1163152175241. Its totient is φ = 212022475392.

The previous prime is 505287818873. The next prime is 505287818929. The reversal of 505287818896 is 698818782505.

The square root of 505287818896 is 710836.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 364260531600 + 141027287296 = 603540^2 + 375536^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1054880385 + ... + 1054880863.

Almost surely, 2^505287818896 is an apocalyptic number.

505287818896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

505287818896 is the 710836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505287818896

505287818896 is an abundant number, since it is smaller than the sum of its proper divisors (657864356345).

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

505287818896 is an frugal number, since it uses more digits than its factorization.

505287818896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 67.

The spelling of 505287818896 in words is "five hundred five billion, two hundred eighty-seven million, eight hundred eighteen thousand, eight hundred ninety-six".