252261 has 8 divisors (see below), whose sum is σ = 373760. Its totient is φ = 168156.

The previous prime is 252253. The next prime is 252277. The reversal of 252261 is 162252.

It is not a de Polignac number, because 252261 - 2³ = 252253 is a prime.

It is a super-2 number, since 2×252261² = 127271224242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252761) 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, 4645 + ... + 4698.

It is an arithmetic number, because the mean of its divisors is an integer number (46720).

2²⁵²²⁶¹ is an apocalyptic number.

It is an amenable number.

252261 is a deficient number, since it is larger than the sum of its proper divisors (121499).

252261 is an equidigital number, since it uses as much as digits as its factorization.

252261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9352 (or 9346 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 252261 is about 502.2559108662. The cubic root of 252261 is about 63.1853949320.

Subtracting from 252261 its reverse (162252), we obtain a palindrome (90009).

The spelling of 252261 in words is "two hundred fifty-two thousand, two hundred sixty-one".