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253285441 is a prime number
BaseRepresentation
bin11110001100011…
…01010001000001
3122122121020022021
433012031101001
51004320113231
641044441441
76163614343
oct1706152101
9578536267
10253285441
1111aa78112
12709a9281
1340622c56
14258d3293
1517382811
hexf18d441

253285441 has 2 divisors, whose sum is σ = 253285442. Its totient is φ = 253285440.

The previous prime is 253285433. The next prime is 253285517. The reversal of 253285441 is 144582352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211411600 + 41873841 = 14540^2 + 6471^2 .

It is a cyclic number.

It is not a de Polignac number, because 253285441 - 23 = 253285433 is a prime.

It is equal to p13849117 and since 253285441 and 13849117 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 253285397 and 253285406.

It is not a weakly prime, because it can be changed into another prime (253285541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126642720 + 126642721.

It is an arithmetic number, because the mean of its divisors is an integer number (126642721).

Almost surely, 2253285441 is an apocalyptic number.

It is an amenable number.

253285441 is a deficient number, since it is larger than the sum of its proper divisors (1).

253285441 is an equidigital number, since it uses as much as digits as its factorization.

253285441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38400, while the sum is 34.

The square root of 253285441 is about 15914.9439521476. The cubic root of 253285441 is about 632.7081212969.

The spelling of 253285441 in words is "two hundred fifty-three million, two hundred eighty-five thousand, four hundred forty-one".