505055712 has 192 divisors, whose sum is σ = 1621638144. Its totient is φ = 134492160.

The previous prime is 505055711. The next prime is 505055723. The reversal of 505055712 is 217550505.

It is a self number, because there is not a number n which added to its sum of digits gives 505055712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505055711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633298 + ... + 634094.

It is an arithmetic number, because the mean of its divisors is an integer number (8446032).

Almost surely, 2^505055712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505055712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810819072).

505055712 is an abundant number, since it is smaller than the sum of its proper divisors (1116582432).

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

505055712 is a wasteful number, since it uses less digits than its factorization.

505055712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 30.

The square root of 505055712 is about 22473.4445957890. Note that the first 3 decimals coincide. The cubic root of 505055712 is about 796.3667072939.

The spelling of 505055712 in words is "five hundred five million, fifty-five thousand, seven hundred twelve".