252601 has 8 divisors (see below), whose sum is σ = 265608. Its totient is φ = 240000.

The previous prime is 252589. The next prime is 252607. The reversal of 252601 is 106252.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2601 + 250000 = 51^2 + 500^2 .

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

It is a 3-Lehmer number, since φ(252601) divides (252601-1)³.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2^k-252601 is a prime.

It is a super-3 number, since 3×252601³ = 48353336991113403, which contains 333 as substring.

It is a deceptive number, since it divides R₂₅₂₆₀₀.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 2451 + ... + 2551.

It is an arithmetic number, because the mean of its divisors is an integer number (33201).

It is a Poulet number, since it divides 2²⁵²⁶⁰⁰-1.

2²⁵²⁶⁰¹ is an apocalyptic number.

It is an amenable number.

252601 is a deficient number, since it is larger than the sum of its proper divisors (13007).

252601 is a wasteful number, since it uses less digits than its factorization.

252601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 252601 is about 502.5942697644. The cubic root of 252601 is about 63.2137694989.

Adding to 252601 its reverse (106252), we get a palindrome (358853).

It can be divided in two parts, 25 and 2601, that multiplied together give a square (65025 = 255²).

The spelling of 252601 in words is "two hundred fifty-two thousand, six hundred one".