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2540127423541 is a prime number
BaseRepresentation
bin100100111101101011011…
…001001000110000110101
322222211111211212212221111
4210331223121020300311
5313104140110023131
65222530214115021
7351342503565421
oct44755331106065
98884454785844
102540127423541
1189a297789534
1235036364ba71
131556c0c8a536
148ad2b16db81
154611b8b7ab1
hex24f6b648c35

2540127423541 has 2 divisors, whose sum is σ = 2540127423542. Its totient is φ = 2540127423540.

The previous prime is 2540127423539. The next prime is 2540127423569. The reversal of 2540127423541 is 1453247210452.

2540127423541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1839970167025 + 700157256516 = 1356455^2 + 836754^2 .

It is a cyclic number.

It is not a de Polignac number, because 2540127423541 - 21 = 2540127423539 is a prime.

Together with 2540127423539, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2540127423494 and 2540127423503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2540127463541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270063711770 + 1270063711771.

It is an arithmetic number, because the mean of its divisors is an integer number (1270063711771).

Almost surely, 22540127423541 is an apocalyptic number.

It is an amenable number.

2540127423541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2540127423541 is an equidigital number, since it uses as much as digits as its factorization.

2540127423541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 2540127423541 in words is "two trillion, five hundred forty billion, one hundred twenty-seven million, four hundred twenty-three thousand, five hundred forty-one".