5005005005629 has 2 divisors, whose sum is σ = 5005005005630. Its totient is φ = 5005005005628.

The previous prime is 5005005005551. The next prime is 5005005005633. The reversal of 5005005005629 is 9265005005005.

5005005005629 is digitally balanced in base 3, 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., 2632188249604 + 2372816756025 = 1622402^2 + 1540395^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5005005005629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005005006629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502502502814 + 2502502502815.

It is an arithmetic number, because the mean of its divisors is an integer number (2502502502815).

Almost surely, 2^{5005005005629} is an apocalyptic number.

It is an amenable number.

5005005005629 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005005005629 is an equidigital number, since it uses as much as digits as its factorization.

5005005005629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67500, while the sum is 37.

The spelling of 5005005005629 in words is "five trillion, five billion, five million, five thousand, six hundred twenty-nine".