9006010009 has 2 divisors, whose sum is σ = 9006010010. Its totient is φ = 9006010008.

The previous prime is 9006009967. The next prime is 9006010093. The reversal of 9006010009 is 9000106009.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9006010000 + 9 = 94900^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 9006010009 - 2¹⁹ = 9005485721 is a prime.

It is a super-2 number, since 2×9006010009² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9006010099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4503005004 + 4503005005.

It is an arithmetic number, because the mean of its divisors is an integer number (4503005005).

Almost surely, 2^9006010009 is an apocalyptic number.

It is an amenable number.

9006010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

9006010009 is an equidigital number, since it uses as much as digits as its factorization.

9006010009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 9006010009 is about 94900.0000474183. Note that the first 4 decimals coincide. The cubic root of 9006010009 is about 2080.5467319713.

The spelling of 9006010009 in words is "nine billion, six million, ten thousand, nine".