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61125452077 is a prime number
BaseRepresentation
bin111000111011010111…
…000110000100101101
312211202221022200202111
4320323113012010231
52000141103431302
644025230324021
74262513525044
oct707327060455
9184687280674
1061125452077
1123a177a6948
12ba1a959611
1359c197ca71
142d5c13955b
1518cb4650d7
hexe3b5c612d

61125452077 has 2 divisors, whose sum is σ = 61125452078. Its totient is φ = 61125452076.

The previous prime is 61125452053. The next prime is 61125452117. The reversal of 61125452077 is 77025452116.

It is an a-pointer prime, because the next prime (61125452117) can be obtained adding 61125452077 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60250120681 + 875331396 = 245459^2 + 29586^2 .

It is a cyclic number.

It is not a de Polignac number, because 61125452077 - 27 = 61125451949 is a prime.

It is a super-2 number, since 2×611254520772 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61125452777) 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, 30562726038 + 30562726039.

It is an arithmetic number, because the mean of its divisors is an integer number (30562726039).

Almost surely, 261125452077 is an apocalyptic number.

It is an amenable number.

61125452077 is a deficient number, since it is larger than the sum of its proper divisors (1).

61125452077 is an equidigital number, since it uses as much as digits as its factorization.

61125452077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 61125452077 in words is "sixty-one billion, one hundred twenty-five million, four hundred fifty-two thousand, seventy-seven".