2005513201 has 2 divisors, whose sum is σ = 2005513202. Its totient is φ = 2005513200.

The previous prime is 2005513189. The next prime is 2005513231. The reversal of 2005513201 is 1023155002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1391663025 + 613850176 = 37305^2 + 24776^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005513201 - 2²¹ = 2003416049 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005513231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002756600 + 1002756601.

It is an arithmetic number, because the mean of its divisors is an integer number (1002756601).

Almost surely, 2^2005513201 is an apocalyptic number.

It is an amenable number.

2005513201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005513201 is an equidigital number, since it uses as much as digits as its factorization.

2005513201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 2005513201 is about 44782.9565906495. The cubic root of 2005513201 is about 1261.0776874145.

Adding to 2005513201 its reverse (1023155002), we get a palindrome (3028668203).

The spelling of 2005513201 in words is "two billion, five million, five hundred thirteen thousand, two hundred one".