905052713 has 2 divisors, whose sum is σ = 905052714. Its totient is φ = 905052712.

The previous prime is 905052679. The next prime is 905052739. The reversal of 905052713 is 317250509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 888755344 + 16297369 = 29812^2 + 4037^2 .

It is an emirp because it is prime and its reverse (317250509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 905052713 - 2¹⁶ = 904987177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 905052713.

It is not a weakly prime, because it can be changed into another prime (905051713) 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, 452526356 + 452526357.

It is an arithmetic number, because the mean of its divisors is an integer number (452526357).

Almost surely, 2^905052713 is an apocalyptic number.

It is an amenable number.

905052713 is a deficient number, since it is larger than the sum of its proper divisors (1).

905052713 is an equidigital number, since it uses as much as digits as its factorization.

905052713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 905052713 is about 30084.0940199302. The cubic root of 905052713 is about 967.2928068007.

The spelling of 905052713 in words is "nine hundred five million, fifty-two thousand, seven hundred thirteen".