2005263 has 32 divisors (see below), whose sum is σ = 3326400. Its totient is φ = 1185408.

The previous prime is 2005261. The next prime is 2005277. The reversal of 2005263 is 3625002.

It is not a de Polignac number, because 2005263 - 2¹ = 2005261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10081 + ... + 10277.

It is an arithmetic number, because the mean of its divisors is an integer number (103950).

2^2005263 is an apocalyptic number.

2005263 is a deficient number, since it is larger than the sum of its proper divisors (1321137).

2005263 is a wasteful number, since it uses less digits than its factorization.

2005263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2005263 is about 1416.0730913339. The cubic root of 2005263 is about 126.1025242647.

The spelling of 2005263 in words is "two million, five thousand, two hundred sixty-three".