5205001 has 2 divisors, whose sum is σ = 5205002. Its totient is φ = 5205000.

The previous prime is 5204999. The next prime is 5205019. The reversal of 5205001 is 1005025.

5205001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3822025 + 1382976 = 1955^2 + 1176^2 .

It is a cyclic number.

It is not a de Polignac number, because 5205001 - 2¹ = 5204999 is a prime.

Together with 5204999, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (5205071) 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, 2602500 + 2602501.

It is an arithmetic number, because the mean of its divisors is an integer number (2602501).

Almost surely, 2^5205001 is an apocalyptic number.

It is an amenable number.

5205001 is a deficient number, since it is larger than the sum of its proper divisors (1).

5205001 is an equidigital number, since it uses as much as digits as its factorization.

5205001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 5205001 is about 2281.4471284691. The cubic root of 5205001 is about 173.3033425265.

The spelling of 5205001 in words is "five million, two hundred five thousand, one".