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61005388889 is a prime number
BaseRepresentation
bin111000110100001101…
…000101110001011001
312211110120101212000202
4320310031011301121
51444414334421024
644005301111545
74256525151434
oct706415056131
9184416355022
1061005388889
1123965a51675
12b9a66b85b5
1359a2b33163
142d4a20481b
1518c0b4abae
hexe34345c59

61005388889 has 2 divisors, whose sum is σ = 61005388890. Its totient is φ = 61005388888.

The previous prime is 61005388783. The next prime is 61005388891. The reversal of 61005388889 is 98888350016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52014556489 + 8990832400 = 228067^2 + 94820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61005388889 is a prime.

Together with 61005388891, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (61005388489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30502694444 + 30502694445.

It is an arithmetic number, because the mean of its divisors is an integer number (30502694445).

Almost surely, 261005388889 is an apocalyptic number.

It is an amenable number.

61005388889 is a deficient number, since it is larger than the sum of its proper divisors (1).

61005388889 is an equidigital number, since it uses as much as digits as its factorization.

61005388889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3317760, while the sum is 56.

The spelling of 61005388889 in words is "sixty-one billion, five million, three hundred eighty-eight thousand, eight hundred eighty-nine".