10185085609 has 2 divisors, whose sum is σ = 10185085610. Its totient is φ = 10185085608.

The previous prime is 10185085579. The next prime is 10185085657. The reversal of 10185085609 is 90658058101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8435504025 + 1749581584 = 91845^2 + 41828^2 .

It is a cyclic number.

It is not a de Polignac number, because 10185085609 - 2¹¹ = 10185083561 is a prime.

It is not a weakly prime, because it can be changed into another prime (10185083609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5092542804 + 5092542805.

It is an arithmetic number, because the mean of its divisors is an integer number (5092542805).

Almost surely, 2^10185085609 is an apocalyptic number.

It is an amenable number.

10185085609 is a deficient number, since it is larger than the sum of its proper divisors (1).

10185085609 is an equidigital number, since it uses as much as digits as its factorization.

10185085609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 10185085609 in words is "ten billion, one hundred eighty-five million, eighty-five thousand, six hundred nine".