1011085849 has 2 divisors, whose sum is σ = 1011085850. Its totient is φ = 1011085848.

The previous prime is 1011085847. The next prime is 1011085991. The reversal of 1011085849 is 9485801101.

1011085849 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., 532132624 + 478953225 = 23068^2 + 21885^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011085849 - 2¹ = 1011085847 is a prime.

Together with 1011085847, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1011085847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505542924 + 505542925.

It is an arithmetic number, because the mean of its divisors is an integer number (505542925).

Almost surely, 2^1011085849 is an apocalyptic number.

It is an amenable number.

1011085849 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011085849 is an equidigital number, since it uses as much as digits as its factorization.

1011085849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 37.

The square root of 1011085849 is about 31797.5761497634. The cubic root of 1011085849 is about 1003.6817113662.

It can be divided in two parts, 10110 and 85849, that added together give a palindrome (95959).

The spelling of 1011085849 in words is "one billion, eleven million, eighty-five thousand, eight hundred forty-nine".