268338953 has 18 divisors (see below), whose sum is σ = 287282394. Its totient is φ = 250603584.

The previous prime is 268338949. The next prime is 268338977. The reversal of 268338953 is 359833862.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 151979584 + 116359369 = 12328^2 + 10787^2 .

It is not a de Polignac number, because 268338953 - 2² = 268338949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 268338898 and 268338907.

It is not an unprimeable number, because it can be changed into a prime (268398953) 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 17 ways as a sum of consecutive naturals, for example, 2374625 + ... + 2374737.

It is an arithmetic number, because the mean of its divisors is an integer number (15960133).

Almost surely, 2^268338953 is an apocalyptic number.

268338953 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

268338953 is a deficient number, since it is larger than the sum of its proper divisors (18943441).

268338953 is an equidigital number, since it uses as much as digits as its factorization.

268338953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 203 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The square root of 268338953 is about 16381.0546974241. The cubic root of 268338953 is about 645.0022658815.

The spelling of 268338953 in words is "two hundred sixty-eight million, three hundred thirty-eight thousand, nine hundred fifty-three".