252500 has 30 divisors (see below), whose sum is σ = 557634. Its totient is φ = 100000.

The previous prime is 252481. The next prime is 252509. The reversal of 252500 is 5252.

It can be written as a sum of positive squares in 5 ways, for example, as 35344 + 217156 = 188^2 + 466^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252509) by changing a digit.

252500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2450 + ... + 2550.

2²⁵²⁵⁰⁰ is an apocalyptic number.

252500 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 252500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278817).

252500 is an abundant number, since it is smaller than the sum of its proper divisors (305134).

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

252500 is a wasteful number, since it uses less digits than its factorization.

252500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 252500 is about 502.4937810560. The cubic root of 252500 is about 63.2053432432.

Adding to 252500 its reverse (5252), we get a palindrome (257752).

It can be divided in two parts, 25 and 2500, that multiplied together give a square (62500 = 250²).

The spelling of 252500 in words is "two hundred fifty-two thousand, five hundred".