2505321 has 72 divisors (see below), whose sum is σ = 4979520. Its totient is φ = 1197504.

The previous prime is 2505311. The next prime is 2505337. The reversal of 2505321 is 1235052.

It is a happy number.

2505321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2505321 - 2⁷ = 2505193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2505294 and 2505303.

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 71 ways as a sum of consecutive naturals, for example, 108916 + ... + 108938.

It is an arithmetic number, because the mean of its divisors is an integer number (69160).

2^2505321 is an apocalyptic number.

2505321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2505321 is a deficient number, since it is larger than the sum of its proper divisors (2474199).

2505321 is a wasteful number, since it uses less digits than its factorization.

2505321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2505321 is about 1582.8205836417. The cubic root of 2505321 is about 135.8171020372.

The spelling of 2505321 in words is "two million, five hundred five thousand, three hundred twenty-one".