2505782306011 has 2 divisors, whose sum is σ = 2505782306012. Its totient is φ = 2505782306010.

The previous prime is 2505782305973. The next prime is 2505782306047. The reversal of 2505782306011 is 1106032875052.

2505782306011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2505782306011 - 2¹⁵ = 2505782273243 is a prime.

It is not a weakly prime, because it can be changed into another prime (2505782306711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252891153005 + 1252891153006.

It is an arithmetic number, because the mean of its divisors is an integer number (1252891153006).

Almost surely, 2^{2505782306011} is an apocalyptic number.

2505782306011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505782306011 is an equidigital number, since it uses as much as digits as its factorization.

2505782306011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 2505782306011 in words is "two trillion, five hundred five billion, seven hundred eighty-two million, three hundred six thousand, eleven".