505005005621 has 2 divisors, whose sum is σ = 505005005622. Its totient is φ = 505005005620.

The previous prime is 505005005429. The next prime is 505005005623. The reversal of 505005005621 is 126500500505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 380332457521 + 124672548100 = 616711^2 + 353090^2 .

It is a cyclic number.

It is not a de Polignac number, because 505005005621 - 2²² = 505000811317 is a prime.

It is a Sophie Germain prime.

Together with 505005005623, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505005005623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252502502810 + 252502502811.

It is an arithmetic number, because the mean of its divisors is an integer number (252502502811).

Almost surely, 2^505005005621 is an apocalyptic number.

It is an amenable number.

505005005621 is a deficient number, since it is larger than the sum of its proper divisors (1).

505005005621 is an equidigital number, since it uses as much as digits as its factorization.

505005005621 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7500, while the sum is 29.

The spelling of 505005005621 in words is "five hundred five billion, five million, five thousand, six hundred twenty-one".