5205003401021 has 2 divisors, whose sum is σ = 5205003401022. Its totient is φ = 5205003401020.

The previous prime is 5205003400991. The next prime is 5205003401023. The reversal of 5205003401021 is 1201043005025.

5205003401021 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., 3815044929796 + 1389958471225 = 1953214^2 + 1178965^2 .

It is a cyclic number.

It is not a de Polignac number, because 5205003401021 - 2¹⁰ = 5205003399997 is a prime.

Together with 5205003401023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5205003401023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2602501700510 + 2602501700511.

It is an arithmetic number, because the mean of its divisors is an integer number (2602501700511).

Almost surely, 2^{5205003401021} is an apocalyptic number.

It is an amenable number.

5205003401021 is a deficient number, since it is larger than the sum of its proper divisors (1).

5205003401021 is an equidigital number, since it uses as much as digits as its factorization.

5205003401021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 5205003401021 its reverse (1201043005025), we get a palindrome (6406046406046).

The spelling of 5205003401021 in words is "five trillion, two hundred five billion, three million, four hundred one thousand, twenty-one".