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61617171337 is a prime number
BaseRepresentation
bin111001011000101010…
…110110101110001001
312220001012120121202221
4321120222312232021
52002142443440322
644150113454041
74310634212641
oct713052665611
9186035517687
1061617171337
112414a3178a7
12bb37571321
135a6c7c59c7
142da7577521
1519096e49c7
hexe58ab6b89

61617171337 has 2 divisors, whose sum is σ = 61617171338. Its totient is φ = 61617171336.

The previous prime is 61617171311. The next prime is 61617171349. The reversal of 61617171337 is 73317171616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59409675081 + 2207496256 = 243741^2 + 46984^2 .

It is a cyclic number.

It is not a de Polignac number, because 61617171337 - 219 = 61616647049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61617171293 and 61617171302.

It is not a weakly prime, because it can be changed into another prime (61617171037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30808585668 + 30808585669.

It is an arithmetic number, because the mean of its divisors is an integer number (30808585669).

Almost surely, 261617171337 is an apocalyptic number.

It is an amenable number.

61617171337 is a deficient number, since it is larger than the sum of its proper divisors (1).

61617171337 is an equidigital number, since it uses as much as digits as its factorization.

61617171337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 111132, while the sum is 43.

The spelling of 61617171337 in words is "sixty-one billion, six hundred seventeen million, one hundred seventy-one thousand, three hundred thirty-seven".