Search a number
-
+
585314320049 is a prime number
BaseRepresentation
bin10001000010001110111…
…00111011111010110001
32001221210120011012211222
420201013130323322301
534042210431220144
61124520101114425
760200430426404
oct10410734737261
92057716135758
10585314320049
11206259746918
12955306b8a15
134326c284264
1420487abdd3b
151035a9452ee
hex884773beb1

585314320049 has 2 divisors, whose sum is σ = 585314320050. Its totient is φ = 585314320048.

The previous prime is 585314320001. The next prime is 585314320109. The reversal of 585314320049 is 940023413585.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307727591824 + 277586728225 = 554732^2 + 526865^2 .

It is a cyclic number.

It is not a de Polignac number, because 585314320049 - 212 = 585314315953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 585314319991 and 585314320009.

It is not a weakly prime, because it can be changed into another prime (585314322049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 292657160024 + 292657160025.

It is an arithmetic number, because the mean of its divisors is an integer number (292657160025).

Almost surely, 2585314320049 is an apocalyptic number.

It is an amenable number.

585314320049 is a deficient number, since it is larger than the sum of its proper divisors (1).

585314320049 is an equidigital number, since it uses as much as digits as its factorization.

585314320049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 585314320049 in words is "five hundred eighty-five billion, three hundred fourteen million, three hundred twenty thousand, forty-nine".