9008961309 has 12 divisors (see below), whose sum is σ = 13196225952. Its totient is φ = 5921382600.

The previous prime is 9008961301. The next prime is 9008961341. The reversal of 9008961309 is 9031698009.

It is not a de Polignac number, because 9008961309 - 2³ = 9008961301 is a prime.

It is a super-2 number, since 2×9008961309² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9008961301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7048627 + ... + 7049904.

It is an arithmetic number, because the mean of its divisors is an integer number (1099685496).

Almost surely, 2^9008961309 is an apocalyptic number.

It is an amenable number.

9008961309 is a deficient number, since it is larger than the sum of its proper divisors (4187264643).

9008961309 is a wasteful number, since it uses less digits than its factorization.

9008961309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14098608 (or 14098605 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 9008961309 is about 94915.5482995278. The cubic root of 9008961309 is about 2080.7739745553.

The spelling of 9008961309 in words is "nine billion, eight million, nine hundred sixty-one thousand, three hundred nine".