338044525153 has 2 divisors, whose sum is σ = 338044525154. Its totient is φ = 338044525152.

The previous prime is 338044525103. The next prime is 338044525177. The reversal of 338044525153 is 351525440833.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179176117264 + 158868407889 = 423292^2 + 398583^2 .

It is a cyclic number.

It is not a de Polignac number, because 338044525153 - 2⁹ = 338044524641 is a prime.

It is a super-2 number, since 2×338044525153² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338044525103) 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 as a sum of consecutive naturals, namely, 169022262576 + 169022262577.

It is an arithmetic number, because the mean of its divisors is an integer number (169022262577).

Almost surely, 2^338044525153 is an apocalyptic number.

It is an amenable number.

338044525153 is a deficient number, since it is larger than the sum of its proper divisors (1).

338044525153 is an equidigital number, since it uses as much as digits as its factorization.

338044525153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864000, while the sum is 43.

Adding to 338044525153 its reverse (351525440833), we get a palindrome (689569965986).

The spelling of 338044525153 in words is "three hundred thirty-eight billion, forty-four million, five hundred twenty-five thousand, one hundred fifty-three".