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616133137 is a prime number
BaseRepresentation
bin100100101110010…
…111001000010001
31120221100210202211
4210232113020101
52230212230022
6141045512121
721161021344
oct4456271021
91527323684
10616133137
11296877a44
12152412641
139a856c29
145bb8645b
1539157e77
hex24b97211

616133137 has 2 divisors, whose sum is σ = 616133138. Its totient is φ = 616133136.

The previous prime is 616133113. The next prime is 616133143. The reversal of 616133137 is 731331616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 356794321 + 259338816 = 18889^2 + 16104^2 .

It is a cyclic number.

It is not a de Polignac number, because 616133137 - 215 = 616100369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 616133099 and 616133108.

It is not a weakly prime, because it can be changed into another prime (616133437) 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, 308066568 + 308066569.

It is an arithmetic number, because the mean of its divisors is an integer number (308066569).

Almost surely, 2616133137 is an apocalyptic number.

It is an amenable number.

616133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

616133137 is an equidigital number, since it uses as much as digits as its factorization.

616133137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 31.

The square root of 616133137 is about 24822.0292683737. The cubic root of 616133137 is about 850.9254681221.

The spelling of 616133137 in words is "six hundred sixteen million, one hundred thirty-three thousand, one hundred thirty-seven".