Search a number
-
+
254665374442561 is a prime number
BaseRepresentation
bin111001111001110111100111…
…001011100010010001000001
31020101200202211210212212002001
4321321313213023202101001
5231334414141324130221
62301343354040224001
7104432652245350405
oct7171674713422101
91211622753785061
10254665374442561
1174164a8483a925
122468ba3276b001
13ac13ac3487294
1446c5c26d97105
151e6966dee7391
hexe79de72e2441

254665374442561 has 2 divisors, whose sum is σ = 254665374442562. Its totient is φ = 254665374442560.

The previous prime is 254665374442541. The next prime is 254665374442607. The reversal of 254665374442561 is 165244473566452.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224247060964161 + 30418313478400 = 14974881^2 + 5515280^2 .

It is a cyclic number.

It is not a de Polignac number, because 254665374442561 - 239 = 254115618628673 is a prime.

It is a super-2 number, since 2×2546653744425612 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 254665374442493 and 254665374442502.

It is not a weakly prime, because it can be changed into another prime (254665374442541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127332687221280 + 127332687221281.

It is an arithmetic number, because the mean of its divisors is an integer number (127332687221281).

Almost surely, 2254665374442561 is an apocalyptic number.

It is an amenable number.

254665374442561 is a deficient number, since it is larger than the sum of its proper divisors (1).

254665374442561 is an equidigital number, since it uses as much as digits as its factorization.

254665374442561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 580608000, while the sum is 64.

The spelling of 254665374442561 in words is "two hundred fifty-four trillion, six hundred sixty-five billion, three hundred seventy-four million, four hundred forty-two thousand, five hundred sixty-one".