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253613 is a prime number

253613 has 2 divisors, whose sum is σ = 253614. Its totient is φ = 253612.

The previous prime is 253609. The next prime is 253633. The reversal of 253613 is 316352.

It is an a-pointer prime, because the next prime (253633) can be obtained adding 253613 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162409 + 91204 = 403^2 + 302^2 .

It is a cyclic number.

It is not a de Polignac number, because 253613 - 22 = 253609 is a prime.

It is a Chen prime.

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 253613.

It is not a weakly prime, because it can be changed into another prime (253633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126806 + 126807.

It is an arithmetic number, because the mean of its divisors is an integer number (126807).

2253613 is an apocalyptic number.

It is an amenable number.

253613 is a deficient number, since it is larger than the sum of its proper divisors (1).

253613 is an equidigital number, since it uses as much as digits as its factorization.

253613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 20.

The square root of 253613 is about 503.6000397141. The cubic root of 253613 is about 63.2980751735.

Adding to 253613 its reverse (316352), we get a palindrome (569965).

The spelling of 253613 in words is "two hundred fifty-three thousand, six hundred thirteen".