1085037601 has 2 divisors, whose sum is σ = 1085037602. Its totient is φ = 1085037600.

The previous prime is 1085037559. The next prime is 1085037643. The reversal of 1085037601 is 1067305801.

It is a balanced prime because it is at equal distance from previous prime (1085037559) and next prime (1085037643).

It can be written as a sum of positive squares in only one way, i.e., 960938001 + 124099600 = 30999^2 + 11140^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085037601 - 2⁹ = 1085037089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1085037661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542518800 + 542518801.

It is an arithmetic number, because the mean of its divisors is an integer number (542518801).

Almost surely, 2^1085037601 is an apocalyptic number.

It is an amenable number.

1085037601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085037601 is an equidigital number, since it uses as much as digits as its factorization.

1085037601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 1085037601 is about 32939.9089403720. The cubic root of 1085037601 is about 1027.5783120221.

The spelling of 1085037601 in words is "one billion, eighty-five million, thirty-seven thousand, six hundred one".