Search a number
-
+
3085681409 is a prime number
BaseRepresentation
bin1011011111101011…
…1100001100000001
321222001020212010122
42313322330030001
522304413301114
61230104510025
7136315600466
oct26772741401
97861225118
103085681409
111343872128
1272147b315
133a23838b5
14213b4b66d
15130d6ae8e
hexb7ebc301

3085681409 has 2 divisors, whose sum is σ = 3085681410. Its totient is φ = 3085681408.

The previous prime is 3085681397. The next prime is 3085681421. The reversal of 3085681409 is 9041865803.

It is a balanced prime because it is at equal distance from previous prime (3085681397) and next prime (3085681421).

It can be written as a sum of positive squares in only one way, i.e., 2448270400 + 637411009 = 49480^2 + 25247^2 .

It is a cyclic number.

It is not a de Polignac number, because 3085681409 - 216 = 3085615873 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3085681409.

It is not a weakly prime, because it can be changed into another prime (3085681429) 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, 1542840704 + 1542840705.

It is an arithmetic number, because the mean of its divisors is an integer number (1542840705).

Almost surely, 23085681409 is an apocalyptic number.

It is an amenable number.

3085681409 is a deficient number, since it is larger than the sum of its proper divisors (1).

3085681409 is an equidigital number, since it uses as much as digits as its factorization.

3085681409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 3085681409 is about 55548.9100613144. The cubic root of 3085681409 is about 1455.8513314333.

The spelling of 3085681409 in words is "three billion, eighty-five million, six hundred eighty-one thousand, four hundred nine".