503253504 has 240 divisors, whose sum is σ = 1620562944. Its totient is φ = 149299200.

The previous prime is 503253503. The next prime is 503253511. The reversal of 503253504 is 405352305.

It is a super-3 number, since 3×503253504³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (503253503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1856889 + ... + 1857159.

Almost surely, 2^503253504 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 503253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810281472).

503253504 is an abundant number, since it is smaller than the sum of its proper divisors (1117309440).

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

503253504 is a wasteful number, since it uses less digits than its factorization.

503253504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 503253504 is about 22433.3123724518. The cubic root of 503253504 is about 795.4183439600.

The spelling of 503253504 in words is "five hundred three million, two hundred fifty-three thousand, five hundred four".