238820513 has 2 divisors, whose sum is σ = 238820514. Its totient is φ = 238820512.

The previous prime is 238820447. The next prime is 238820563. The reversal of 238820513 is 315028832.

238820513 = 10927² + 10928².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119421184 + 119399329 = 10928^2 + 10927^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-238820513 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 238820513.

It is not a weakly prime, because it can be changed into another prime (238820563) 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, 119410256 + 119410257.

It is an arithmetic number, because the mean of its divisors is an integer number (119410257).

Almost surely, 2^238820513 is an apocalyptic number.

238820513 is the 10928-th centered square number.

It is an amenable number.

238820513 is a deficient number, since it is larger than the sum of its proper divisors (1).

238820513 is an equidigital number, since it uses as much as digits as its factorization.

238820513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 238820513 is about 15453.8187190092. The cubic root of 238820513 is about 620.4267899098.

The spelling of 238820513 in words is "two hundred thirty-eight million, eight hundred twenty thousand, five hundred thirteen".