905249633 has 2 divisors, whose sum is σ = 905249634. Its totient is φ = 905249632.

The previous prime is 905249627. The next prime is 905249641. The reversal of 905249633 is 336942509.

905249633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 881317969 + 23931664 = 29687^2 + 4892^2 .

It is an emirp because it is prime and its reverse (336942509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 905249633 - 2¹⁴ = 905233249 is a prime.

It is not a weakly prime, because it can be changed into another prime (905246633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452624816 + 452624817.

It is an arithmetic number, because the mean of its divisors is an integer number (452624817).

Almost surely, 2^905249633 is an apocalyptic number.

It is an amenable number.

905249633 is a deficient number, since it is larger than the sum of its proper divisors (1).

905249633 is an equidigital number, since it uses as much as digits as its factorization.

905249633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 174960, while the sum is 41.

The square root of 905249633 is about 30087.3666677561. The cubic root of 905249633 is about 967.3629557484.

It can be divided in two parts, 9052 and 49633, that added together give a palindrome (58685).

The spelling of 905249633 in words is "nine hundred five million, two hundred forty-nine thousand, six hundred thirty-three".