13005029 has 2 divisors, whose sum is σ = 13005030. Its totient is φ = 13005028.

The previous prime is 13005011. The next prime is 13005037. The reversal of 13005029 is 92050031.

13005029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12974404 + 30625 = 3602^2 + 175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13005029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13005029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13005929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502514 + 6502515.

It is an arithmetic number, because the mean of its divisors is an integer number (6502515).

Almost surely, 2^13005029 is an apocalyptic number.

It is an amenable number.

13005029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005029 is an equidigital number, since it uses as much as digits as its factorization.

13005029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 13005029 is about 3606.2486048524. The cubic root of 13005029 is about 235.1637850225.

The spelling of 13005029 in words is "thirteen million, five thousand, twenty-nine".