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253965617 is a prime number
BaseRepresentation
bin11110010001100…
…11010100110001
3122200212210022222
433020303110301
51010003344432
641111210425
76202446353
oct1710632461
9580783288
10253965617
111203a2144
1271076a15
1340800719
1425a2d0d3
1517469112
hexf233531

253965617 has 2 divisors, whose sum is σ = 253965618. Its totient is φ = 253965616.

The previous prime is 253965599. The next prime is 253965619. The reversal of 253965617 is 716569352.

253965617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138274081 + 115691536 = 11759^2 + 10756^2 .

It is a cyclic number.

It is not a de Polignac number, because 253965617 - 26 = 253965553 is a prime.

Together with 253965619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (253965619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126982808 + 126982809.

It is an arithmetic number, because the mean of its divisors is an integer number (126982809).

Almost surely, 2253965617 is an apocalyptic number.

It is an amenable number.

253965617 is a deficient number, since it is larger than the sum of its proper divisors (1).

253965617 is an equidigital number, since it uses as much as digits as its factorization.

253965617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 340200, while the sum is 44.

The square root of 253965617 is about 15936.2987233548. The cubic root of 253965617 is about 633.2739759391.

It can be divided in two parts, 25396 and 5617, that added together give a palindrome (31013).

The spelling of 253965617 in words is "two hundred fifty-three million, nine hundred sixty-five thousand, six hundred seventeen".