253104309 has 24 divisors (see below), whose sum is σ = 382587192. Its totient is φ = 161066880.

The previous prime is 253104289. The next prime is 253104329. The reversal of 253104309 is 903401352.

253104309 is a `hidden beast` number, since 253 + 104 + 309 = 666.

It is an interprime number because it is at equal distance from previous prime (253104289) and next prime (253104329).

It can be written as a sum of positive squares in 4 ways, for example, as 39652209 + 213452100 = 6297^2 + 14610^2 .

It is not a de Polignac number, because 253104309 - 2⁸ = 253104053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253104329) 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, 10479 + ... + 24819.

It is an arithmetic number, because the mean of its divisors is an integer number (15941133).

Almost surely, 2^253104309 is an apocalyptic number.

It is an amenable number.

253104309 is a deficient number, since it is larger than the sum of its proper divisors (129482883).

253104309 is a wasteful number, since it uses less digits than its factorization.

253104309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14437 (or 14434 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 253104309 is about 15909.2523080125. The cubic root of 253104309 is about 632.5572624916.

The spelling of 253104309 in words is "two hundred fifty-three million, one hundred four thousand, three hundred nine".