8005506497 has 2 divisors, whose sum is σ = 8005506498. Its totient is φ = 8005506496.

The previous prime is 8005506473. The next prime is 8005506511. The reversal of 8005506497 is 7946055008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7715689921 + 289816576 = 87839^2 + 17024^2 .

It is a cyclic number.

It is not a de Polignac number, because 8005506497 - 2³⁰ = 6931764673 is a prime.

It is a super-2 number, since 2×8005506497² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8005506407) 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, 4002753248 + 4002753249.

It is an arithmetic number, because the mean of its divisors is an integer number (4002753249).

Almost surely, 2^8005506497 is an apocalyptic number.

It is an amenable number.

8005506497 is a deficient number, since it is larger than the sum of its proper divisors (1).

8005506497 is an equidigital number, since it uses as much as digits as its factorization.

8005506497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 8005506497 is about 89473.4960588889. The cubic root of 8005506497 is about 2000.4587695072.

The spelling of 8005506497 in words is "eight billion, five million, five hundred six thousand, four hundred ninety-seven".