503253000 has 384 divisors, whose sum is σ = 1873872000. Its totient is φ = 125971200.

The previous prime is 503252963. The next prime is 503253007. The reversal of 503253000 is 352305.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503253007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4616946 + ... + 4617054.

It is an arithmetic number, because the mean of its divisors is an integer number (4879875).

Almost surely, 2^503253000 is an apocalyptic number.

503253000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936936000).

503253000 is an abundant number, since it is smaller than the sum of its proper divisors (1370619000).

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

503253000 is a wasteful number, since it uses less digits than its factorization.

503253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 503253000 is about 22433.3011391547. The cubic root of 503253000 is about 795.4180784272.

The spelling of 503253000 in words is "five hundred three million, two hundred fifty-three thousand".