2522657 has 2 divisors, whose sum is σ = 2522658. Its totient is φ = 2522656.

The previous prime is 2522633. The next prime is 2522659. The reversal of 2522657 is 7562252.

2522657 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., 2307361 + 215296 = 1519^2 + 464^2 .

It is a cyclic number.

It is not a de Polignac number, because 2522657 - 2⁶ = 2522593 is a prime.

Together with 2522659, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2⁷ + 5⁶ + 2¹⁰ + 2²¹ + 6⁴ + 5⁸ + 7⁵ .

It is not a weakly prime, because it can be changed into another prime (2522659) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1261328 + 1261329.

It is an arithmetic number, because the mean of its divisors is an integer number (1261329).

2^2522657 is an apocalyptic number.

It is an amenable number.

2522657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2522657 is an equidigital number, since it uses as much as digits as its factorization.

2522657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8400, while the sum is 29.

The square root of 2522657 is about 1588.2874424990. The cubic root of 2522657 is about 136.1296521675.

The spelling of 2522657 in words is "two million, five hundred twenty-two thousand, six hundred fifty-seven".