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1026263521541 is a prime number
BaseRepresentation
bin11101110111100100001…
…00101001100100000101
310122002222001212120000002
432323302010221210011
5113303241430142131
62103243044531045
7134100524000456
oct16736204514405
93562861776002
101026263521541
113662660043a5
12146a916b0a85
1375a1250732b
143795853712d
151ba673206cb
hexeef2129905

1026263521541 has 2 divisors, whose sum is σ = 1026263521542. Its totient is φ = 1026263521540.

The previous prime is 1026263521513. The next prime is 1026263521579. The reversal of 1026263521541 is 1451253626201.

It is an a-pointer prime, because the next prime (1026263521579) can be obtained adding 1026263521541 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 945715405441 + 80548116100 = 972479^2 + 283810^2 .

It is an emirp because it is prime and its reverse (1451253626201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1026263521541 - 210 = 1026263520517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1026263521495 and 1026263521504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1026263521141) 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, 513131760770 + 513131760771.

It is an arithmetic number, because the mean of its divisors is an integer number (513131760771).

Almost surely, 21026263521541 is an apocalyptic number.

It is an amenable number.

1026263521541 is a deficient number, since it is larger than the sum of its proper divisors (1).

1026263521541 is an equidigital number, since it uses as much as digits as its factorization.

1026263521541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 1026263521541 in words is "one trillion, twenty-six billion, two hundred sixty-three million, five hundred twenty-one thousand, five hundred forty-one".