2005263311 has 4 divisors (see below), whose sum is σ = 2005481400. Its totient is φ = 2005045224.

The previous prime is 2005263259. The next prime is 2005263329. The reversal of 2005263311 is 1133625002.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1133625002 = 2 ⋅566812501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005263311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005263341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94616 + ... + 113853.

It is an arithmetic number, because the mean of its divisors is an integer number (501370350).

Almost surely, 2^2005263311 is an apocalyptic number.

2005263311 is a deficient number, since it is larger than the sum of its proper divisors (218089).

2005263311 is an equidigital number, since it uses as much as digits as its factorization.

2005263311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218088.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 2005263311 is about 44780.1664914279. The cubic root of 2005263311 is about 1261.0253078386.

Adding to 2005263311 its reverse (1133625002), we get a palindrome (3138888313).

The spelling of 2005263311 in words is "two billion, five million, two hundred sixty-three thousand, three hundred eleven".