Search a number
-
+
505555005073 is a prime number
BaseRepresentation
bin1110101101101010110…
…11010010111010010001
31210022220222221012122011
413112311123102322101
531240334040130243
61024125422142521
751345060432406
oct7266533227221
91708828835564
10505555005073
1118544a690a88
1281b91421a41
133889ac80021
141a67ccb82ad
15d23d66a89d
hex75b56d2e91

505555005073 has 2 divisors, whose sum is σ = 505555005074. Its totient is φ = 505555005072.

The previous prime is 505555005047. The next prime is 505555005083. The reversal of 505555005073 is 370500555505.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 446314852624 + 59240152449 = 668068^2 + 243393^2 .

It is a cyclic number.

It is not a de Polignac number, because 505555005073 - 217 = 505554874001 is a prime.

It is a super-2 number, since 2×5055550050732 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (505555005083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252777502536 + 252777502537.

It is an arithmetic number, because the mean of its divisors is an integer number (252777502537).

Almost surely, 2505555005073 is an apocalyptic number.

It is an amenable number.

505555005073 is a deficient number, since it is larger than the sum of its proper divisors (1).

505555005073 is an equidigital number, since it uses as much as digits as its factorization.

505555005073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 328125, while the sum is 40.

The spelling of 505555005073 in words is "five hundred five billion, five hundred fifty-five million, five thousand, seventy-three".