2538577 has 2 divisors, whose sum is σ = 2538578. Its totient is φ = 2538576.

The previous prime is 2538527. The next prime is 2538589. The reversal of 2538577 is 7758352.

2538577 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., 2070721 + 467856 = 1439^2 + 684^2 .

It is a cyclic number.

It is not a de Polignac number, because 2538577 - 2⁷ = 2538449 is a prime.

It is equal to p₁₈₅₆₉₈ and since 2538577 and 185698 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (2538527) 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, 1269288 + 1269289.

It is an arithmetic number, because the mean of its divisors is an integer number (1269289).

2^2538577 is an apocalyptic number.

It is an amenable number.

2538577 is a deficient number, since it is larger than the sum of its proper divisors (1).

2538577 is an equidigital number, since it uses as much as digits as its factorization.

2538577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 58800, while the sum is 37.

The square root of 2538577 is about 1593.2912477008. The cubic root of 2538577 is about 136.4154145054.

The spelling of 2538577 in words is "two million, five hundred thirty-eight thousand, five hundred seventy-seven".