2505305 has 24 divisors (see below), whose sum is σ = 3418632. Its totient is φ = 1760000.

The previous prime is 2505301. The next prime is 2505311. The reversal of 2505305 is 5035052.

2505305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 267289 + 2238016 = 517^2 + 1496^2 .

It is not a de Polignac number, because 2505305 - 2² = 2505301 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2505301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24755 + ... + 24855.

It is an arithmetic number, because the mean of its divisors is an integer number (142443).

2^2505305 is an apocalyptic number.

It is an amenable number.

2505305 is a deficient number, since it is larger than the sum of its proper divisors (913327).

2505305 is a wasteful number, since it uses less digits than its factorization.

2505305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 2505305 is about 1582.8155293653. The cubic root of 2505305 is about 135.8168129088.

It can be divided in two parts, 250 and 5305, that added together give a palindrome (5555).

The spelling of 2505305 in words is "two million, five hundred five thousand, three hundred five".