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5957328257 is a prime number
BaseRepresentation
bin1011000110001010…
…11001110110000001
3120101011202122001022
411203011121312001
544200034001012
62423050115225
7300425311646
oct54305316601
916334678038
105957328257
112587835991
1211a311bb15
1373c2a810a
144072a1dcd
1524d009472
hex163159d81

5957328257 has 2 divisors, whose sum is σ = 5957328258. Its totient is φ = 5957328256.

The previous prime is 5957328253. The next prime is 5957328283. The reversal of 5957328257 is 7528237595.

5957328257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5943793216 + 13535041 = 77096^2 + 3679^2 .

It is a cyclic number.

It is not a de Polignac number, because 5957328257 - 22 = 5957328253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5957328199 and 5957328208.

It is not a weakly prime, because it can be changed into another prime (5957328253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2978664128 + 2978664129.

It is an arithmetic number, because the mean of its divisors is an integer number (2978664129).

Almost surely, 25957328257 is an apocalyptic number.

It is an amenable number.

5957328257 is a deficient number, since it is larger than the sum of its proper divisors (1).

5957328257 is an equidigital number, since it uses as much as digits as its factorization.

5957328257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292000, while the sum is 53.

The square root of 5957328257 is about 77183.7305201038. The cubic root of 5957328257 is about 1812.8025788117.

The spelling of 5957328257 in words is "five billion, nine hundred fifty-seven million, three hundred twenty-eight thousand, two hundred fifty-seven".