252503000 has 64 divisors (see below), whose sum is σ = 611301600. Its totient is φ = 97507200.

The previous prime is 252502981. The next prime is 252503003. The reversal of 252503000 is 305252.

It is a self number, because there is not a number n which added to its sum of digits gives 252503000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252503003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24647 + ... + 33353.

Almost surely, 2^252503000 is an apocalyptic number.

252503000 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 252503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305650800).

252503000 is an abundant number, since it is smaller than the sum of its proper divisors (358798600).

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

252503000 is a wasteful number, since it uses less digits than its factorization.

252503000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8757 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 252503000 is about 15890.3429793066. The cubic root of 252503000 is about 632.0559356036.

Adding to 252503000 its reverse (305252), we get a palindrome (252808252).

The spelling of 252503000 in words is "two hundred fifty-two million, five hundred three thousand".