1027840113 has 6 divisors (see below), whose sum is σ = 1484657954. Its totient is φ = 685226736.

The previous prime is 1027840097. The next prime is 1027840129. The reversal of 1027840113 is 3110487201.

1027840113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1027840097) and next prime (1027840129).

It can be written as a sum of positive squares in only one way, i.e., 578739249 + 449100864 = 24057^2 + 21192^2 .

It is not a de Polignac number, because 1027840113 - 2⁴ = 1027840097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027840153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57102220 + ... + 57102237.

Almost surely, 2^1027840113 is an apocalyptic number.

It is an amenable number.

1027840113 is a deficient number, since it is larger than the sum of its proper divisors (456817841).

1027840113 is a wasteful number, since it uses less digits than its factorization.

1027840113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114204463 (or 114204460 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1027840113 is about 32059.9456175459. The cubic root of 1027840113 is about 1009.1952263207.

The spelling of 1027840113 in words is "one billion, twenty-seven million, eight hundred forty thousand, one hundred thirteen".