Search a number
-
+
506584394989 is a prime number
BaseRepresentation
bin1110101111100101100…
…10000110110011101101
31210102120201220122010121
413113302302012303231
531244441101114424
61024415513404541
751412430211241
oct7276262066355
91712521818117
10506584394989
11185928758952
128221a109751
1338a0330a59a
141a7398b6421
15d29dc04ee4
hex75f2c86ced

506584394989 has 2 divisors, whose sum is σ = 506584394990. Its totient is φ = 506584394988.

The previous prime is 506584394957. The next prime is 506584394999. The reversal of 506584394989 is 989493485605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401505986025 + 105078408964 = 633645^2 + 324158^2 .

It is a cyclic number.

It is not a de Polignac number, because 506584394989 - 25 = 506584394957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506584394999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253292197494 + 253292197495.

It is an arithmetic number, because the mean of its divisors is an integer number (253292197495).

Almost surely, 2506584394989 is an apocalyptic number.

It is an amenable number.

506584394989 is a deficient number, since it is larger than the sum of its proper divisors (1).

506584394989 is an equidigital number, since it uses as much as digits as its factorization.

506584394989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 335923200, while the sum is 70.

The spelling of 506584394989 in words is "five hundred six billion, five hundred eighty-four million, three hundred ninety-four thousand, nine hundred eighty-nine".