252003 has 8 divisors (see below), whose sum is σ = 338688. Its totient is φ = 166664.

The previous prime is 252001. The next prime is 252013. The reversal of 252003 is 300252.

It is a Cunningham number, because it is equal to 502²-1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252003 - 2¹ = 252001 is a prime.

It is an Ulam number.

252003 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 252003.

It is not an unprimeable number, because it can be changed into a prime (252001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

252003 is a Friedman number, since it can be written as 502^2-3^0, using all its digits and the basic arithmetic operations.

2²⁵²⁰⁰³ is an apocalyptic number.

252003 is a deficient number, since it is larger than the sum of its proper divisors (86685).

252003 is a wasteful number, since it uses less digits than its factorization.

252003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673.

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

The square root of 252003 is about 501.9990039831. Note that the first 3 decimals coincide. The cubic root of 252003 is about 63.1638466248.

Adding to 252003 its reverse (300252), we get a palindrome (552255).

The spelling of 252003 in words is "two hundred fifty-two thousand, three".