238413313 has 2 divisors, whose sum is σ = 238413314. Its totient is φ = 238413312.

The previous prime is 238413299. The next prime is 238413317. The reversal of 238413313 is 313314832.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144168049 + 94245264 = 12007^2 + 9708^2 .

It is a cyclic number.

It is not a de Polignac number, because 238413313 - 2¹³ = 238405121 is a prime.

It is equal to p_13079422 and since 238413313 and 13079422 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (238413317) 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 as a sum of consecutive naturals, namely, 119206656 + 119206657.

It is an arithmetic number, because the mean of its divisors is an integer number (119206657).

Almost surely, 2^238413313 is an apocalyptic number.

It is an amenable number.

238413313 is a deficient number, since it is larger than the sum of its proper divisors (1).

238413313 is an equidigital number, since it uses as much as digits as its factorization.

238413313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 28.

The square root of 238413313 is about 15440.6383611559. The cubic root of 238413313 is about 620.0739705362.

The spelling of 238413313 in words is "two hundred thirty-eight million, four hundred thirteen thousand, three hundred thirteen".