25057 has 2 divisors, whose sum is σ = 25058. Its totient is φ = 25056.

The previous prime is 25037. The next prime is 25073. The reversal of 25057 is 75052.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18496 + 6561 = 136^2 + 81^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-25057 is a prime.

It is a Chen prime.

25057 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (25037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12528 + 12529.

It is an arithmetic number, because the mean of its divisors is an integer number (12529).

2²⁵⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

25057 is a deficient number, since it is larger than the sum of its proper divisors (1).

25057 is an equidigital number, since it uses as much as digits as its factorization.

25057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 25057 is about 158.2940302096. The cubic root of 25057 is about 29.2623830492.

The spelling of 25057 in words is "twenty-five thousand, fifty-seven".