Search a number
-
+
605005100993 is a prime number
BaseRepresentation
bin10001100110111010001…
…11010011011111000001
32010211121211211112022002
420303131013103133001
534403022301212433
61141534022553345
761465406336126
oct10633507233701
92124554745262
10605005100993
11213643674aa7
1299306b98855
1345089883b27
14213d4cb274d
1510b0e4809e8
hex8cdd1d37c1

605005100993 has 2 divisors, whose sum is σ = 605005100994. Its totient is φ = 605005100992.

The previous prime is 605005100983. The next prime is 605005101037. The reversal of 605005100993 is 399001500506.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 560240274064 + 44764826929 = 748492^2 + 211577^2 .

It is a cyclic number.

It is not a de Polignac number, because 605005100993 - 26 = 605005100929 is a prime.

It is not a weakly prime, because it can be changed into another prime (605005100963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 302502550496 + 302502550497.

It is an arithmetic number, because the mean of its divisors is an integer number (302502550497).

Almost surely, 2605005100993 is an apocalyptic number.

It is an amenable number.

605005100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

605005100993 is an equidigital number, since it uses as much as digits as its factorization.

605005100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36450, while the sum is 38.

The spelling of 605005100993 in words is "six hundred five billion, five million, one hundred thousand, nine hundred ninety-three".