Search a number
-
+
1005300275281 is a prime number
BaseRepresentation
bin11101010000100001001…
…00001101100001010001
310120002212002211022021221
432220100210031201101
5112432323332302111
62045454545445041
7132426164230441
oct16502044154121
93502762738257
101005300275281
11358388885195
12142a01040781
1373a513c05c3
143692a350121
151b23bc33371
hexea1090d851

1005300275281 has 2 divisors, whose sum is σ = 1005300275282. Its totient is φ = 1005300275280.

The previous prime is 1005300275251. The next prime is 1005300275299. The reversal of 1005300275281 is 1825720035001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1004936076225 + 364199056 = 1002465^2 + 19084^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005300275281 - 25 = 1005300275249 is a prime.

It is a super-2 number, since 2×10053002752812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005300275251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502650137640 + 502650137641.

It is an arithmetic number, because the mean of its divisors is an integer number (502650137641).

Almost surely, 21005300275281 is an apocalyptic number.

It is an amenable number.

1005300275281 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005300275281 is an equidigital number, since it uses as much as digits as its factorization.

1005300275281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 1005300275281 in words is "one trillion, five billion, three hundred million, two hundred seventy-five thousand, two hundred eighty-one".