2564520011 has 2 divisors, whose sum is σ = 2564520012. Its totient is φ = 2564520010.

The previous prime is 2564519999. The next prime is 2564520037. The reversal of 2564520011 is 1100254652.

It is an a-pointer prime, because the next prime (2564520037) can be obtained adding 2564520011 to its sum of digits (26).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2564520011 - 2¹⁸ = 2564257867 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (2464520011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282260005 + 1282260006.

It is an arithmetic number, because the mean of its divisors is an integer number (1282260006).

Almost surely, 2^2564520011 is an apocalyptic number.

2564520011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564520011 is an equidigital number, since it uses as much as digits as its factorization.

2564520011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2564520011 is about 50641.0901442692. The cubic root of 2564520011 is about 1368.7853995946.

Adding to 2564520011 its reverse (1100254652), we get a palindrome (3664774663).

The spelling of 2564520011 in words is "two billion, five hundred sixty-four million, five hundred twenty thousand, eleven".