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541338977873 is a prime number
BaseRepresentation
bin1111110000010100101…
…00010100011001010001
31220202021211210101002002
413320022110110121101
532332130234242443
61052404313003345
754052612250621
oct7701224243121
91822254711062
10541338977873
11199642816421
1288ab93b3555
133c081734825
141c2b557a881
15e134e592b8
hex7e0a514651

541338977873 has 2 divisors, whose sum is σ = 541338977874. Its totient is φ = 541338977872.

The previous prime is 541338977807. The next prime is 541338977917. The reversal of 541338977873 is 378779833145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 535197591184 + 6141386689 = 731572^2 + 78367^2 .

It is a cyclic number.

It is not a de Polignac number, because 541338977873 - 216 = 541338912337 is a prime.

It is not a weakly prime, because it can be changed into another prime (541338977173) 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, 270669488936 + 270669488937.

It is an arithmetic number, because the mean of its divisors is an integer number (270669488937).

Almost surely, 2541338977873 is an apocalyptic number.

It is an amenable number.

541338977873 is a deficient number, since it is larger than the sum of its proper divisors (1).

541338977873 is an equidigital number, since it uses as much as digits as its factorization.

541338977873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 106686720, while the sum is 65.

The spelling of 541338977873 in words is "five hundred forty-one billion, three hundred thirty-eight million, nine hundred seventy-seven thousand, eight hundred seventy-three".