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540701000137 is a prime number
BaseRepresentation
bin1111101111001000100…
…10101000000111001001
31220200122101022202011001
413313210102220013021
532324323424001022
61052221122535001
754031034445334
oct7674422500711
91820571282131
10540701000137
111993456892a1
128895b807461
133bcac4cc9cc
141c25494961b
15e0e8e38b27
hex7de44a81c9

540701000137 has 2 divisors, whose sum is σ = 540701000138. Its totient is φ = 540701000136.

The previous prime is 540701000131. The next prime is 540701000221. The reversal of 540701000137 is 731000107045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 519049643401 + 21651356736 = 720451^2 + 147144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-540701000137 is a prime.

It is not a weakly prime, because it can be changed into another prime (540701000131) 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, 270350500068 + 270350500069.

It is an arithmetic number, because the mean of its divisors is an integer number (270350500069).

Almost surely, 2540701000137 is an apocalyptic number.

It is an amenable number.

540701000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

540701000137 is an equidigital number, since it uses as much as digits as its factorization.

540701000137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 28.

The spelling of 540701000137 in words is "five hundred forty billion, seven hundred one million, one hundred thirty-seven", and thus it is an aban number.