252750 has 32 divisors (see below), whose sum is σ = 632736. Its totient is φ = 67200.

The previous prime is 252737. The next prime is 252761. The reversal of 252750 is 57252.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

252750 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 15 ways as a sum of consecutive naturals, for example, 582 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (19773).

2²⁵²⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316368).

252750 is an abundant number, since it is smaller than the sum of its proper divisors (379986).

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

252750 is a wasteful number, since it uses less digits than its factorization.

252750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 252750 is about 502.7424788100. The cubic root of 252750 is about 63.2261962118.

It can be divided in two parts, 25 and 2750, that added together give a triangular number (2775 = T₇₄).

The spelling of 252750 in words is "two hundred fifty-two thousand, seven hundred fifty".