505005001 has 2 divisors, whose sum is σ = 505005002. Its totient is φ = 505005000.

The previous prime is 505004953. The next prime is 505005019. The reversal of 505005001 is 100500505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 425349376 + 79655625 = 20624^2 + 8925^2 .

It is a cyclic number.

It is not a de Polignac number, because 505005001 - 2²⁷ = 370787273 is a prime.

It is not a weakly prime, because it can be changed into another prime (505005091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252502500 + 252502501.

It is an arithmetic number, because the mean of its divisors is an integer number (252502501).

Almost surely, 2^505005001 is an apocalyptic number.

It is an amenable number.

505005001 is a deficient number, since it is larger than the sum of its proper divisors (1).

505005001 is an equidigital number, since it uses as much as digits as its factorization.

505005001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 16.

The square root of 505005001 is about 22472.3163247583. The cubic root of 505005001 is about 796.3400528722.

Adding to 505005001 its reverse (100500505), we get a palindrome (605505506).

The spelling of 505005001 in words is "five hundred five million, five thousand, one".