253738305 has 16 divisors (see below), whose sum is σ = 451090560. Its totient is φ = 135327024.

The previous prime is 253738301. The next prime is 253738327. The reversal of 253738305 is 503837352.

It is not a de Polignac number, because 253738305 - 2² = 253738301 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 253738305.

It is not an unprimeable number, because it can be changed into a prime (253738301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939637 + ... + 939906.

It is an arithmetic number, because the mean of its divisors is an integer number (28193160).

Almost surely, 2^253738305 is an apocalyptic number.

It is an amenable number.

253738305 is a deficient number, since it is larger than the sum of its proper divisors (197352255).

253738305 is a wasteful number, since it uses less digits than its factorization.

253738305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879557 (or 1879551 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 253738305 is about 15929.1652323654. The cubic root of 253738305 is about 633.0849821889.

The spelling of 253738305 in words is "two hundred fifty-three million, seven hundred thirty-eight thousand, three hundred five".