1085748313 has 32 divisors (see below), whose sum is σ = 1251200160. Its totient is φ = 934778880.

The previous prime is 1085748289. The next prime is 1085748317. The reversal of 1085748313 is 3138475801.

It can be written as a sum of positive squares in 16 ways, for example, as 194546704 + 891201609 = 13948^2 + 29853^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085748313 - 2²⁵ = 1052193881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1085748317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3863733 + ... + 3864013.

It is an arithmetic number, because the mean of its divisors is an integer number (39100005).

Almost surely, 2^1085748313 is an apocalyptic number.

1085748313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1085748313 is a deficient number, since it is larger than the sum of its proper divisors (165451847).

1085748313 is a wasteful number, since it uses less digits than its factorization.

1085748313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1085748313 is about 32950.6951823478. The cubic root of 1085748313 is about 1027.8026215576.

The spelling of 1085748313 in words is "one billion, eighty-five million, seven hundred forty-eight thousand, three hundred thirteen".