253601 has 2 divisors, whose sum is σ = 253602. Its totient is φ = 253600.

The previous prime is 253573. The next prime is 253607. The reversal of 253601 is 106352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141376 + 112225 = 376^2 + 335^2 .

It is a cyclic number.

It is not a de Polignac number, because 253601 - 2⁶ = 253537 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253601.

It is not a weakly prime, because it can be changed into another prime (253607) 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, 126800 + 126801.

It is an arithmetic number, because the mean of its divisors is an integer number (126801).

2²⁵³⁶⁰¹ is an apocalyptic number.

It is an amenable number.

253601 is a deficient number, since it is larger than the sum of its proper divisors (1).

253601 is an equidigital number, since it uses as much as digits as its factorization.

253601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 253601 is about 503.5881253564. The cubic root of 253601 is about 63.2970768166.

Adding to 253601 its reverse (106352), we get a palindrome (359953).

The spelling of 253601 in words is "two hundred fifty-three thousand, six hundred one".