85119813009 has 135 divisors (see below), whose sum is σ = 162970447563. Its totient is φ = 44113053600.

The previous prime is 85119813007. The next prime is 85119813017. The reversal of 85119813009 is 90031891158.

The square root of 85119813009 is 291753.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 403889409 + 84715923600 = 20097^2 + 291060^2 .

It is not a de Polignac number, because 85119813009 - 2¹ = 85119813007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85119813001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 202184619 + ... + 202185039.

Almost surely, 2^85119813009 is an apocalyptic number.

85119813009 is the 291753-rd square number.

85119813009 is the 145877-th centered octagonal number.

It is an amenable number.

85119813009 is a deficient number, since it is larger than the sum of its proper divisors (77850634554).

85119813009 is an equidigital number, since it uses as much as digits as its factorization.

85119813009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 85119813009 in words is "eighty-five billion, one hundred nineteen million, eight hundred thirteen thousand, nine".