75059009 has 2 divisors, whose sum is σ = 75059010. Its totient is φ = 75059008.

The previous prime is 75059003. The next prime is 75059011. The reversal of 75059009 is 90095057.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55830784 + 19228225 = 7472^2 + 4385^2 .

It is a cyclic number.

It is not a de Polignac number, because 75059009 - 2⁴ = 75058993 is a prime.

It is a super-3 number, since 3×75059009³ (a number of 25 digits) contains 333 as substring.

Together with 75059011, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_4397525 and since 75059009 and 4397525 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75059009.

It is not a weakly prime, because it can be changed into another prime (75059003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37529504 + 37529505.

It is an arithmetic number, because the mean of its divisors is an integer number (37529505).

Almost surely, 2^75059009 is an apocalyptic number.

It is an amenable number.

75059009 is a deficient number, since it is larger than the sum of its proper divisors (1).

75059009 is an equidigital number, since it uses as much as digits as its factorization.

75059009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14175, while the sum is 35.

The square root of 75059009 is about 8663.6602541882. The cubic root of 75059009 is about 421.8269039198.

The spelling of 75059009 in words is "seventy-five million, fifty-nine thousand, nine".