252003000 has 128 divisors (see below), whose sum is σ = 792529920. Its totient is φ = 66665600.

The previous prime is 252002987. The next prime is 252003001. The reversal of 252003000 is 300252.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252003001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500749 + ... + 501251.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^252003000 is an apocalyptic number.

252003000 is a gapful number since it is divisible by the number (20) 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 252003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

252003000 is an abundant number, since it is smaller than the sum of its proper divisors (540526920).

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

252003000 is a wasteful number, since it uses less digits than its factorization.

252003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 252003000 is about 15874.6023572246. The cubic root of 252003000 is about 631.6384662476.

Adding to 252003000 its reverse (300252), we get a palindrome (252303252).

The spelling of 252003000 in words is "two hundred fifty-two million, three thousand".