252609 has 16 divisors (see below), whose sum is σ = 402432. Its totient is φ = 137808.

The previous prime is 252607. The next prime is 252611. The reversal of 252609 is 906252.

It is an interprime number because it is at equal distance from previous prime (252607) and next prime (252611).

It is not a de Polignac number, because 252609 - 2¹ = 252607 is a prime.

It is a super-2 number, since 2×252609² = 127622613762, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (252607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (25152).

2²⁵²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

252609 is a deficient number, since it is larger than the sum of its proper divisors (149823).

252609 is a wasteful number, since it uses less digits than its factorization.

252609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 252609 is about 502.6022284073. The cubic root of 252609 is about 63.2144368290.

It can be divided in two parts, 252 and 609, that added together give a triangular number (861 = T₄₁).

The spelling of 252609 in words is "two hundred fifty-two thousand, six hundred nine".