252563 has 8 divisors (see below), whose sum is σ = 268800. Its totient is φ = 236808.

The previous prime is 252559. The next prime is 252583. The reversal of 252563 is 365252.

It is a happy number.

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

It is not a de Polignac number, because 252563 - 2² = 252559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1748 + ... + 1886.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2²⁵²⁵⁶³ is an apocalyptic number.

252563 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

252563 is a deficient number, since it is larger than the sum of its proper divisors (16237).

252563 is a wasteful number, since it uses less digits than its factorization.

252563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its digits is 1800, while the sum is 23.

The square root of 252563 is about 502.5564644893. The cubic root of 252563 is about 63.2105994880.

The spelling of 252563 in words is "two hundred fifty-two thousand, five hundred sixty-three".