1085966113 has 2 divisors, whose sum is σ = 1085966114. Its totient is φ = 1085966112.

The previous prime is 1085966081. The next prime is 1085966129. The reversal of 1085966113 is 3116695801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1077940224 + 8025889 = 32832^2 + 2833^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085966113 - 2⁵ = 1085966081 is a prime.

It is not a weakly prime, because it can be changed into another prime (1085966173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542983056 + 542983057.

It is an arithmetic number, because the mean of its divisors is an integer number (542983057).

Almost surely, 2^1085966113 is an apocalyptic number.

It is an amenable number.

1085966113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085966113 is an equidigital number, since it uses as much as digits as its factorization.

1085966113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 1085966113 is about 32953.9999544820. Note that the first 4 decimals coincide. The cubic root of 1085966113 is about 1027.8713423473.

The spelling of 1085966113 in words is "one billion, eighty-five million, nine hundred sixty-six thousand, one hundred thirteen".