505752912 has 180 divisors, whose sum is σ = 1658965620. Its totient is φ = 143410176.

The previous prime is 505752883. The next prime is 505752943. The reversal of 505752912 is 219257505.

505752912 is a `hidden beast` number, since 50 + 575 + 29 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 206324496 + 299428416 = 14364^2 + 17304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1615668 + ... + 1615980.

Almost surely, 2^505752912 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 505752912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829482810).

505752912 is an abundant number, since it is smaller than the sum of its proper divisors (1153212708).

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

505752912 is a wasteful number, since it uses less digits than its factorization.

505752912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 505752912 is about 22488.9508870467. The cubic root of 505752912 is about 796.7329847591.

The spelling of 505752912 in words is "five hundred five million, seven hundred fifty-two thousand, nine hundred twelve".