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25601 is a prime number

25601 has 2 divisors, whose sum is σ = 25602. Its totient is φ = 25600.

The previous prime is 25589. The next prime is 25603. The reversal of 25601 is 10652.

It is a Cunningham number, because it is equal to 1602+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 1 = 160^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 25601 - 26 = 25537 is a prime.

It is a super-2 number, since 2×256012 = 1310822402, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 25603, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12800 + 12801.

It is an arithmetic number, because the mean of its divisors is an integer number (12801).

It is a Proth number, since it is equal to 25 ⋅ 210 + 1 and 25 < 210.

225601 is an apocalyptic number.

It is an amenable number.

25601 is a deficient number, since it is larger than the sum of its proper divisors (1).

25601 is an equidigital number, since it uses as much as digits as its factorization.

25601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 25601 is about 160.0031249695. The cubic root of 25601 is about 29.4726357374.

It can be divided in two parts, 25 and 601, that added together give a palindrome (626).

The spelling of 25601 in words is "twenty-five thousand, six hundred one".