13825033 has 2 divisors, whose sum is σ = 13825034. Its totient is φ = 13825032.

The previous prime is 13824991. The next prime is 13825037. The reversal of 13825033 is 33052831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13520329 + 304704 = 3677^2 + 552^2 .

It is a cyclic number.

It is not a de Polignac number, because 13825033 - 2¹⁷ = 13693961 is a prime.

It is a super-2 number, since 2×13825033² = 382263074902178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13824989 and 13825007.

It is not a weakly prime, because it can be changed into another prime (13825037) 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 as a sum of consecutive naturals, namely, 6912516 + 6912517.

It is an arithmetic number, because the mean of its divisors is an integer number (6912517).

Almost surely, 2^13825033 is an apocalyptic number.

It is an amenable number.

13825033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13825033 is an equidigital number, since it uses as much as digits as its factorization.

13825033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 13825033 is about 3718.2029261459. The cubic root of 13825033 is about 240.0059778604.

Adding to 13825033 its reverse (33052831), we get a palindrome (46877864).

The spelling of 13825033 in words is "thirteen million, eight hundred twenty-five thousand, thirty-three".