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61330052117 is a prime number
BaseRepresentation
bin111001000111100011…
…100101010000010101
312212022012022110020202
4321013203211100111
52001100443131432
644101415510245
74300546561445
oct710743452025
9185265273222
1061330052117
1124012240994
12ba77388385
135a25187a89
142d7b398125
1518de3cc462
hexe478e5415

61330052117 has 2 divisors, whose sum is σ = 61330052118. Its totient is φ = 61330052116.

The previous prime is 61330052033. The next prime is 61330052123. The reversal of 61330052117 is 71125003316.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60929491921 + 400560196 = 246839^2 + 20014^2 .

It is a cyclic number.

It is not a de Polignac number, because 61330052117 - 214 = 61330035733 is a prime.

It is a super-2 number, since 2×613300521172 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61330052117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61330052717) 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, 30665026058 + 30665026059.

It is an arithmetic number, because the mean of its divisors is an integer number (30665026059).

Almost surely, 261330052117 is an apocalyptic number.

It is an amenable number.

61330052117 is a deficient number, since it is larger than the sum of its proper divisors (1).

61330052117 is an equidigital number, since it uses as much as digits as its factorization.

61330052117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The spelling of 61330052117 in words is "sixty-one billion, three hundred thirty million, fifty-two thousand, one hundred seventeen".