905018013 has 12 divisors (see below), whose sum is σ = 1376051040. Its totient is φ = 571590216.

The previous prime is 905017991. The next prime is 905018057. The reversal of 905018013 is 310810509.

It is not a de Polignac number, because 905018013 - 2¹⁸ = 904755869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905018713) 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 in 11 ways as a sum of consecutive naturals, for example, 2646081 + ... + 2646422.

It is an arithmetic number, because the mean of its divisors is an integer number (114670920).

Almost surely, 2^905018013 is an apocalyptic number.

It is an amenable number.

905018013 is a deficient number, since it is larger than the sum of its proper divisors (471033027).

905018013 is a wasteful number, since it uses less digits than its factorization.

905018013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292528 (or 5292525 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 905018013 is about 30083.5172976831. The cubic root of 905018013 is about 967.2804445412.

The spelling of 905018013 in words is "nine hundred five million, eighteen thousand, thirteen".