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2505668141 is a prime number
BaseRepresentation
bin1001010101011001…
…0111011000101101
320110121212010111202
42111112113120231
520112422340031
61052345055245
7116043553634
oct22526273055
96417763452
102505668141
111076425619
1259b187525
1330c165392
1419aac851b
15e9e9a2cb
hex9559762d

2505668141 has 2 divisors, whose sum is σ = 2505668142. Its totient is φ = 2505668140.

The previous prime is 2505668119. The next prime is 2505668161. The reversal of 2505668141 is 1418665052.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2505402916 + 265225 = 50054^2 + 515^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505668141 - 218 = 2505405997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2505668095 and 2505668104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505668101) 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, 1252834070 + 1252834071.

It is an arithmetic number, because the mean of its divisors is an integer number (1252834071).

Almost surely, 22505668141 is an apocalyptic number.

It is an amenable number.

2505668141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505668141 is an equidigital number, since it uses as much as digits as its factorization.

2505668141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 2505668141 is about 50056.6493185471. The cubic root of 2505668141 is about 1358.2337475395.

The spelling of 2505668141 in words is "two billion, five hundred five million, six hundred sixty-eight thousand, one hundred forty-one".