2263505011 has 2 divisors, whose sum is σ = 2263505012. Its totient is φ = 2263505010.

The previous prime is 2263504951. The next prime is 2263505047. The reversal of 2263505011 is 1105053622.

2263505011 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 2263505011 - 2⁷ = 2263504883 is a prime.

It is a super-2 number, since 2×2263505011² = 10246909869644220242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2263505911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131752505 + 1131752506.

It is an arithmetic number, because the mean of its divisors is an integer number (1131752506).

Almost surely, 2^2263505011 is an apocalyptic number.

2263505011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2263505011 is an equidigital number, since it uses as much as digits as its factorization.

2263505011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 2263505011 is about 47576.3072442576. The cubic root of 2263505011 is about 1312.9871833258.

Adding to 2263505011 its reverse (1105053622), we get a palindrome (3368558633).

It can be divided in two parts, 226350 and 5011, that added together give a square (231361 = 481²).

The spelling of 2263505011 in words is "two billion, two hundred sixty-three million, five hundred five thousand, eleven".