503052032 has 144 divisors (see below), whose sum is σ = 1243569600. Its totient is φ = 202309632.

The previous prime is 503052023. The next prime is 503052041. The reversal of 503052032 is 230250305.

It is an interprime number because it is at equal distance from previous prime (503052023) and next prime (503052041).

It is a super-2 number, since 2×503052032² = 506122693798658048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 503051995 and 503052013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492568 + ... + 1492904.

It is an arithmetic number, because the mean of its divisors is an integer number (8635900).

Almost surely, 2^503052032 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 503052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621784800).

503052032 is an abundant number, since it is smaller than the sum of its proper divisors (740517568).

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

503052032 is an equidigital number, since it uses as much as digits as its factorization.

503052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 503052032 is about 22428.8214581150. The cubic root of 503052032 is about 795.3121841330.

The spelling of 503052032 in words is "five hundred three million, fifty-two thousand, thirty-two".