905135993 has 2 divisors, whose sum is σ = 905135994. Its totient is φ = 905135992.

The previous prime is 905135983. The next prime is 905136017. The reversal of 905135993 is 399531509.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 890604649 + 14531344 = 29843^2 + 3812^2 .

It is a cyclic number.

It is not a de Polignac number, because 905135993 - 2¹⁶ = 905070457 is a prime.

It is not a weakly prime, because it can be changed into another prime (905135953) 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 as a sum of consecutive naturals, namely, 452567996 + 452567997.

It is an arithmetic number, because the mean of its divisors is an integer number (452567997).

Almost surely, 2^905135993 is an apocalyptic number.

It is an amenable number.

905135993 is a deficient number, since it is larger than the sum of its proper divisors (1).

905135993 is an equidigital number, since it uses as much as digits as its factorization.

905135993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 164025, while the sum is 44.

The square root of 905135993 is about 30085.4781082169. The cubic root of 905135993 is about 967.3224749342.

The spelling of 905135993 in words is "nine hundred five million, one hundred thirty-five thousand, nine hundred ninety-three".