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81126567461 is a prime number
BaseRepresentation
bin100101110001110000…
…1010010111000100101
321202101211221122000202
41023203201102320211
52312121400124321
6101134035520245
75601251305562
oct1134341227045
9252354848022
1081126567461
1131450917975
1213881159085
13785b658294
143cd8631869
15219c35170b
hex12e3852e25

81126567461 has 2 divisors, whose sum is σ = 81126567462. Its totient is φ = 81126567460.

The previous prime is 81126567427. The next prime is 81126567463. The reversal of 81126567461 is 16476562118.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63498960100 + 17627607361 = 251990^2 + 132769^2 .

It is a cyclic number.

It is not a de Polignac number, because 81126567461 - 26 = 81126567397 is a prime.

Together with 81126567463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (81126567463) 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, 40563283730 + 40563283731.

It is an arithmetic number, because the mean of its divisors is an integer number (40563283731).

Almost surely, 281126567461 is an apocalyptic number.

It is an amenable number.

81126567461 is a deficient number, since it is larger than the sum of its proper divisors (1).

81126567461 is an equidigital number, since it uses as much as digits as its factorization.

81126567461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 483840, while the sum is 47.

The spelling of 81126567461 in words is "eighty-one billion, one hundred twenty-six million, five hundred sixty-seven thousand, four hundred sixty-one".