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61586724841 is a prime number
BaseRepresentation
bin111001010110110110…
…101101011111101001
312212222002021210000221
4321112312231133221
52002112200143331
644143105130041
74310114344435
oct712666553751
9185862253027
1061586724841
1124134111a04
12bb29329921
135a663c5725
142da34cd9c5
151906bcd711
hexe56dad7e9

61586724841 has 2 divisors, whose sum is σ = 61586724842. Its totient is φ = 61586724840.

The previous prime is 61586724803. The next prime is 61586724863. The reversal of 61586724841 is 14842768516.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53160219225 + 8426505616 = 230565^2 + 91796^2 .

It is a cyclic number.

It is not a de Polignac number, because 61586724841 - 217 = 61586593769 is a prime.

It is not a weakly prime, because it can be changed into another prime (61586725841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30793362420 + 30793362421.

It is an arithmetic number, because the mean of its divisors is an integer number (30793362421).

Almost surely, 261586724841 is an apocalyptic number.

It is an amenable number.

61586724841 is a deficient number, since it is larger than the sum of its proper divisors (1).

61586724841 is an equidigital number, since it uses as much as digits as its factorization.

61586724841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2580480, while the sum is 52.

The spelling of 61586724841 in words is "sixty-one billion, five hundred eighty-six million, seven hundred twenty-four thousand, eight hundred forty-one".