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633264257 is a prime number
BaseRepresentation
bin100101101111101…
…101100010000001
31122010121011020202
4211233231202001
52244103424012
6142501014545
721456441323
oct4557554201
91563534222
10633264257
112a550889a
121580b4455
13a12745a2
1460165613
153a8ddcc2
hex25bed881

633264257 has 2 divisors, whose sum is σ = 633264258. Its totient is φ = 633264256.

The previous prime is 633264239. The next prime is 633264259. The reversal of 633264257 is 752462336.

It is a happy number.

633264257 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., 571735921 + 61528336 = 23911^2 + 7844^2 .

It is a cyclic number.

It is not a de Polignac number, because 633264257 - 212 = 633260161 is a prime.

Together with 633264259, it forms a pair of twin primes.

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 633264257.

It is not a weakly prime, because it can be changed into another prime (633264259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 316632128 + 316632129.

It is an arithmetic number, because the mean of its divisors is an integer number (316632129).

Almost surely, 2633264257 is an apocalyptic number.

It is an amenable number.

633264257 is a deficient number, since it is larger than the sum of its proper divisors (1).

633264257 is an equidigital number, since it uses as much as digits as its factorization.

633264257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 38.

The square root of 633264257 is about 25164.7423392333. The cubic root of 633264257 is about 858.7399326459.

The spelling of 633264257 in words is "six hundred thirty-three million, two hundred sixty-four thousand, two hundred fifty-seven".