253809361 has 8 divisors (see below), whose sum is σ = 273591080. Its totient is φ = 234064512.

The previous prime is 253809359. The next prime is 253809377. The reversal of 253809361 is 163908352.

It can be written as a sum of positive squares in 4 ways, for example, as 27878400 + 225930961 = 5280^2 + 15031^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 253809361 - 2¹ = 253809359 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 253809361.

It is not an unprimeable number, because it can be changed into a prime (253809161) 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 7 ways as a sum of consecutive naturals, for example, 6031 + ... + 23323.

It is an arithmetic number, because the mean of its divisors is an integer number (34198885).

Almost surely, 2^253809361 is an apocalyptic number.

It is an amenable number.

253809361 is a deficient number, since it is larger than the sum of its proper divisors (19781719).

253809361 is a wasteful number, since it uses less digits than its factorization.

253809361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18435.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 253809361 is about 15931.3954504933. The cubic root of 253809361 is about 633.1440723186.

The spelling of 253809361 in words is "two hundred fifty-three million, eight hundred nine thousand, three hundred sixty-one".