10355509 has 2 divisors, whose sum is σ = 10355510. Its totient is φ = 10355508.

The previous prime is 10355491. The next prime is 10355537. The reversal of 10355509 is 90555301.

It is an a-pointer prime, because the next prime (10355537) can be obtained adding 10355509 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7006609 + 3348900 = 2647^2 + 1830^2 .

It is a cyclic number.

It is not a de Polignac number, because 10355509 - 2¹⁷ = 10224437 is a prime.

It is a super-3 number, since 3×10355509³ (a number of 22 digits) contains 333 as substring.

It is equal to p₆₈₆₆₀₂ and since 10355509 and 686602 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10355549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5177754 + 5177755.

It is an arithmetic number, because the mean of its divisors is an integer number (5177755).

Almost surely, 2^10355509 is an apocalyptic number.

It is an amenable number.

10355509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10355509 is an equidigital number, since it uses as much as digits as its factorization.

10355509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3375, while the sum is 28.

The square root of 10355509 is about 3217.9976693590. The cubic root of 10355509 is about 217.9668678430.

The spelling of 10355509 in words is "ten million, three hundred fifty-five thousand, five hundred nine".