2511541 has 2 divisors, whose sum is σ = 2511542. Its totient is φ = 2511540.

The previous prime is 2511521. The next prime is 2511547. The reversal of 2511541 is 1451152.

2511541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1782225 + 729316 = 1335^2 + 854^2 .

It is a cyclic number.

It is not a de Polignac number, because 2511541 - 2⁷ = 2511413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2511547) 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, 1255770 + 1255771.

It is an arithmetic number, because the mean of its divisors is an integer number (1255771).

2^2511541 is an apocalyptic number.

It is an amenable number.

2511541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2511541 is an equidigital number, since it uses as much as digits as its factorization.

2511541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 200, while the sum is 19.

The square root of 2511541 is about 1584.7842124403. The cubic root of 2511541 is about 135.9294075686.

Adding to 2511541 its reverse (1451152), we get a palindrome (3962693).

The spelling of 2511541 in words is "two million, five hundred eleven thousand, five hundred forty-one".