505268752 has 40 divisors (see below), whose sum is σ = 1015863552. Its totient is φ = 243196800.

The previous prime is 505268723. The next prime is 505268759. The reversal of 505268752 is 257862505.

It is not an unprimeable number, because it can be changed into a prime (505268759) 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 7 ways as a sum of consecutive naturals, for example, 95127 + ... + 100297.

Almost surely, 2^505268752 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 505268752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507931776).

505268752 is an abundant number, since it is smaller than the sum of its proper divisors (510594800).

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

505268752 is a wasteful number, since it uses less digits than its factorization.

505268752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 505268752 is about 22478.1839124072. The cubic root of 505268752 is about 796.4786646550.

The spelling of 505268752 in words is "five hundred five million, two hundred sixty-eight thousand, seven hundred fifty-two".