2506541 has 2 divisors, whose sum is σ = 2506542. Its totient is φ = 2506540.

The previous prime is 2506523. The next prime is 2506547. The reversal of 2506541 is 1456052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1464100 + 1042441 = 1210^2 + 1021^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506541 - 2¹⁴ = 2490157 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2506547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253270 + 1253271.

It is an arithmetic number, because the mean of its divisors is an integer number (1253271).

2^2506541 is an apocalyptic number.

It is an amenable number.

2506541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506541 is an equidigital number, since it uses as much as digits as its factorization.

2506541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2506541 is about 1583.2059246984. The cubic root of 2506541 is about 135.8391444522.

The spelling of 2506541 in words is "two million, five hundred six thousand, five hundred forty-one".