253616409 has 12 divisors (see below), whose sum is σ = 369578196. Its totient is φ = 167580672.

The previous prime is 253616399. The next prime is 253616411. The reversal of 253616409 is 904616352.

It is a happy number.

253616409 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 1 + 640 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68112009 + 185504400 = 8253^2 + 13620^2 .

It is not a de Polignac number, because 253616409 - 2¹³ = 253608217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253616449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123672 + ... + 125705.

It is an arithmetic number, because the mean of its divisors is an integer number (30798183).

Almost surely, 2^253616409 is an apocalyptic number.

It is an amenable number.

253616409 is a deficient number, since it is larger than the sum of its proper divisors (115961787).

253616409 is a wasteful number, since it uses less digits than its factorization.

253616409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249496 (or 249493 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 253616409 is about 15925.3385835278. The cubic root of 253616409 is about 632.9835878437.

The spelling of 253616409 in words is "two hundred fifty-three million, six hundred sixteen thousand, four hundred nine".