2505541 has 2 divisors, whose sum is σ = 2505542. Its totient is φ = 2505540.

The previous prime is 2505539. The next prime is 2505557. The reversal of 2505541 is 1455052.

2505541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2402500 + 103041 = 1550^2 + 321^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505541 - 2¹ = 2505539 is a prime.

Together with 2505539, it forms a pair of twin primes.

2505541 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505641) 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 as a sum of consecutive naturals, namely, 1252770 + 1252771.

It is an arithmetic number, because the mean of its divisors is an integer number (1252771).

2^2505541 is an apocalyptic number.

It is an amenable number.

2505541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505541 is an equidigital number, since it uses as much as digits as its factorization.

2505541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 2505541 is about 1582.8900783061. The cubic root of 2505541 is about 135.8210774277.

The spelling of 2505541 in words is "two million, five hundred five thousand, five hundred forty-one".