503272512 has 84 divisors (see below), whose sum is σ = 1462422780. Its totient is φ = 165445632.

The previous prime is 503272501. The next prime is 503272519. The reversal of 503272512 is 215272305.

503272512 is a `hidden beast` number, since 50 + 32 + 72 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149230656 + 354041856 = 12216^2 + 18816^2 .

It is not an unprimeable number, because it can be changed into a prime (503272519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36064 + ... + 48032.

It is an arithmetic number, because the mean of its divisors is an integer number (17409795).

Almost surely, 2^503272512 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 503272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731211390).

503272512 is an abundant number, since it is smaller than the sum of its proper divisors (959150268).

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

503272512 is a wasteful number, since it uses less digits than its factorization.

503272512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12060 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 503272512 is about 22433.7360241222. The cubic root of 503272512 is about 795.4283582115.

The spelling of 503272512 in words is "five hundred three million, two hundred seventy-two thousand, five hundred twelve".