905052809 has 2 divisors, whose sum is σ = 905052810. Its totient is φ = 905052808.

The previous prime is 905052779. The next prime is 905052839. The reversal of 905052809 is 908250509.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (905052779) and next prime (905052839).

It can be written as a sum of positive squares in only one way, i.e., 673921600 + 231131209 = 25960^2 + 15203^2 .

It is a cyclic number.

It is not a de Polignac number, because 905052809 - 2¹² = 905048713 is a prime.

It is a super-3 number, since 3×905052809³ (a number of 28 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (905052839) 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, 452526404 + 452526405.

It is an arithmetic number, because the mean of its divisors is an integer number (452526405).

Almost surely, 2^905052809 is an apocalyptic number.

It is an amenable number.

905052809 is a deficient number, since it is larger than the sum of its proper divisors (1).

905052809 is an equidigital number, since it uses as much as digits as its factorization.

905052809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 905052809 is about 30084.0956154577. The cubic root of 905052809 is about 967.2928410013.

The spelling of 905052809 in words is "nine hundred five million, fifty-two thousand, eight hundred nine".