252001809 has 24 divisors (see below), whose sum is σ = 370192680. Its totient is φ = 165166848.

The previous prime is 252001781. The next prime is 252001817. The reversal of 252001809 is 908100252.

It can be written as a sum of positive squares in 4 ways, for example, as 36000000 + 216001809 = 6000^2 + 14697^2 .

It is not a de Polignac number, because 252001809 - 2⁹ = 252001297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252001889) 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 23 ways as a sum of consecutive naturals, for example, 156999 + ... + 158595.

It is an arithmetic number, because the mean of its divisors is an integer number (15424695).

Almost surely, 2^252001809 is an apocalyptic number.

It is an amenable number.

252001809 is a deficient number, since it is larger than the sum of its proper divisors (118190871).

252001809 is a wasteful number, since it uses less digits than its factorization.

252001809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 252001809 is about 15874.5648444296. The cubic root of 252001809 is about 631.6374711766.

The spelling of 252001809 in words is "two hundred fifty-two million, one thousand, eight hundred nine".