338141253 has 16 divisors (see below), whose sum is σ = 457099776. Its totient is φ = 222315120.

The previous prime is 338141249. The next prime is 338141257. The reversal of 338141253 is 352141833.

It is an interprime number because it is at equal distance from previous prime (338141249) and next prime (338141257).

It is not a de Polignac number, because 338141253 - 2² = 338141249 is a prime.

It is a super-2 number, since 2×338141253² = 228679013960820018, which contains 22 as substring.

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 338141253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338141257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220098 + ... + 221628.

It is an arithmetic number, because the mean of its divisors is an integer number (28568736).

Almost surely, 2^338141253 is an apocalyptic number.

It is an amenable number.

338141253 is a deficient number, since it is larger than the sum of its proper divisors (118958523).

338141253 is a wasteful number, since it uses less digits than its factorization.

338141253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504.

The product of its digits is 8640, while the sum is 30.

The square root of 338141253 is about 18388.6174847377. The cubic root of 338141253 is about 696.6789990669.

The spelling of 338141253 in words is "three hundred thirty-eight million, one hundred forty-one thousand, two hundred fifty-three".