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41305252361 is a prime number
BaseRepresentation
bin100110011101111111…
…000010001000001001
310221121122010020010112
4212131333002020021
51134043121033421
630550402524105
72661403565162
oct463577021011
9127548106115
1041305252361
11165768134aa
128009066635
133b83609139
141ddba98769
15111b3b345b
hex99dfc2209

41305252361 has 2 divisors, whose sum is σ = 41305252362. Its totient is φ = 41305252360.

The previous prime is 41305252337. The next prime is 41305252399. The reversal of 41305252361 is 16325250314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25215852025 + 16089400336 = 158795^2 + 126844^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41305252361 is a prime.

It is a super-2 number, since 2×413052523612 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (41305452361) 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, 20652626180 + 20652626181.

It is an arithmetic number, because the mean of its divisors is an integer number (20652626181).

Almost surely, 241305252361 is an apocalyptic number.

It is an amenable number.

41305252361 is a deficient number, since it is larger than the sum of its proper divisors (1).

41305252361 is an equidigital number, since it uses as much as digits as its factorization.

41305252361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 41305252361 in words is "forty-one billion, three hundred five million, two hundred fifty-two thousand, three hundred sixty-one".