1001235509 has 2 divisors, whose sum is σ = 1001235510. Its totient is φ = 1001235508.

The previous prime is 1001235491. The next prime is 1001235511. The reversal of 1001235509 is 9055321001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 975000625 + 26234884 = 31225^2 + 5122^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001235509 - 2⁸ = 1001235253 is a prime.

It is a super-3 number, since 3×1001235509³ (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 1001235511, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001235409) 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, 500617754 + 500617755.

It is an arithmetic number, because the mean of its divisors is an integer number (500617755).

Almost surely, 2^1001235509 is an apocalyptic number.

It is an amenable number.

1001235509 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001235509 is an equidigital number, since it uses as much as digits as its factorization.

1001235509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 1001235509 is about 31642.3056840048. The cubic root of 1001235509 is about 1000.4116668405.

The spelling of 1001235509 in words is "one billion, one million, two hundred thirty-five thousand, five hundred nine".