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61651166657 is a prime number
BaseRepresentation
bin111001011010101100…
…100010010111000001
312220010120112202120212
4321122230202113001
52002230144313112
644153330243505
74311526161443
oct713254422701
9186116482525
1061651166657
1124167527003
12bb46a26595
135a76869392
142dabca6493
15190c6ac522
hexe5ab225c1

61651166657 has 2 divisors, whose sum is σ = 61651166658. Its totient is φ = 61651166656.

The previous prime is 61651166651. The next prime is 61651166659. The reversal of 61651166657 is 75666115616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60677976241 + 973190416 = 246329^2 + 31196^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61651166657 is a prime.

Together with 61651166659, 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 (61651166651) 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, 30825583328 + 30825583329.

It is an arithmetic number, because the mean of its divisors is an integer number (30825583329).

Almost surely, 261651166657 is an apocalyptic number.

It is an amenable number.

61651166657 is a deficient number, since it is larger than the sum of its proper divisors (1).

61651166657 is an equidigital number, since it uses as much as digits as its factorization.

61651166657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1360800, while the sum is 50.

The spelling of 61651166657 in words is "sixty-one billion, six hundred fifty-one million, one hundred sixty-six thousand, six hundred fifty-seven".