338350513 has 2 divisors, whose sum is σ = 338350514. Its totient is φ = 338350512.

The previous prime is 338350501. The next prime is 338350549. The reversal of 338350513 is 315053833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278489344 + 59861169 = 16688^2 + 7737^2 .

It is an emirp because it is prime and its reverse (315053833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338350513 - 2¹³ = 338342321 is a prime.

It is a super-2 number, since 2×338350513² = 228962139294726338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338350013) 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, 169175256 + 169175257.

It is an arithmetic number, because the mean of its divisors is an integer number (169175257).

Almost surely, 2^338350513 is an apocalyptic number.

It is an amenable number.

338350513 is a deficient number, since it is larger than the sum of its proper divisors (1).

338350513 is an equidigital number, since it uses as much as digits as its factorization.

338350513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 338350513 is about 18394.3065376219. The cubic root of 338350513 is about 696.8226835802.

The spelling of 338350513 in words is "three hundred thirty-eight million, three hundred fifty thousand, five hundred thirteen".