252651 has 16 divisors (see below), whose sum is σ = 393984. Its totient is φ = 141024.

The previous prime is 252641. The next prime is 252667. The reversal of 252651 is 156252.

It is not a de Polignac number, because 252651 - 2⁹ = 252139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (252611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (24624).

2²⁵²⁶⁵¹ is an apocalyptic number.

252651 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

252651 is a deficient number, since it is larger than the sum of its proper divisors (141333).

252651 is a wasteful number, since it uses less digits than its factorization.

252651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290.

The product of its digits is 600, while the sum is 21.

The square root of 252651 is about 502.6440092153. The cubic root of 252651 is about 63.2179400814.

It can be divided in two parts, 252 and 651, that added together give a triangular number (903 = T₄₂).

The spelling of 252651 in words is "two hundred fifty-two thousand, six hundred fifty-one".