25577 has 2 divisors, whose sum is σ = 25578. Its totient is φ = 25576.

The previous prime is 25561. The next prime is 25579. The reversal of 25577 is 77552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15376 + 10201 = 124^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 25577 - 2⁴ = 25561 is a prime.

Together with 25579, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25577.

It is not a weakly prime, because it can be changed into another prime (25579) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12788 + 12789.

It is an arithmetic number, because the mean of its divisors is an integer number (12789).

2²⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

25577 is a deficient number, since it is larger than the sum of its proper divisors (1).

25577 is an equidigital number, since it uses as much as digits as its factorization.

25577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2450, while the sum is 26.

The square root of 25577 is about 159.9281088489. The cubic root of 25577 is about 29.4634230190.

The spelling of 25577 in words is "twenty-five thousand, five hundred seventy-seven".