253117305 has 48 divisors (see below), whose sum is σ = 520001664. Its totient is φ = 115706880.

The previous prime is 253117289. The next prime is 253117309. The reversal of 253117305 is 503711352.

It is not a de Polignac number, because 253117305 - 2⁴ = 253117289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253117309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6376 + ... + 23385.

It is an arithmetic number, because the mean of its divisors is an integer number (10833368).

Almost surely, 2^253117305 is an apocalyptic number.

It is an amenable number.

253117305 is an abundant number, since it is smaller than the sum of its proper divisors (266884359).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253117305 is an equidigital number, since it uses as much as digits as its factorization.

253117305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29788 (or 29776 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 253117305 is about 15909.6607443402. The cubic root of 253117305 is about 632.5680888231.

Adding to 253117305 its reverse (503711352), we get a palindrome (756828657).

The spelling of 253117305 in words is "two hundred fifty-three million, one hundred seventeen thousand, three hundred five".