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2538910270049 is a prime number
BaseRepresentation
bin100100111100100010110…
…110000100001001100001
322222201101000121002020112
4210330202312010021201
5313044142012120144
65222205334221105
7351300364135106
oct44744266041141
98881330532215
102538910270049
1189982272705a
12350083ab4795
13155558a6b47a
148ac53656aad
1546099ade99e
hex24f22d84261

2538910270049 has 2 divisors, whose sum is σ = 2538910270050. Its totient is φ = 2538910270048.

The previous prime is 2538910270007. The next prime is 2538910270069. The reversal of 2538910270049 is 9400720198352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2243809264225 + 295101005824 = 1497935^2 + 543232^2 .

It is a cyclic number.

It is not a de Polignac number, because 2538910270049 - 220 = 2538909221473 is a prime.

It is a super-3 number, since 3×25389102700493 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2538910269979 and 2538910270006.

It is not a weakly prime, because it can be changed into another prime (2538910270069) 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, 1269455135024 + 1269455135025.

It is an arithmetic number, because the mean of its divisors is an integer number (1269455135025).

Almost surely, 22538910270049 is an apocalyptic number.

It is an amenable number.

2538910270049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2538910270049 is an equidigital number, since it uses as much as digits as its factorization.

2538910270049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 2538910270049 in words is "two trillion, five hundred thirty-eight billion, nine hundred ten million, two hundred seventy thousand, forty-nine".