85853102049 has 81 divisors (see below), whose sum is σ = 147816807411. Its totient is φ = 47959385760.

The previous prime is 85853102011. The next prime is 85853102063. The reversal of 85853102049 is 94020135858.

The square root of 85853102049 is 293007.

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

85853102049 is a `hidden beast` number, since 8 + 58 + 531 + 0 + 20 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12700163025 + 73152939024 = 112695^2 + 270468^2 .

It is not a de Polignac number, because 85853102049 - 2¹⁷ = 85852970977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85853101995 and 85853102013.

It is not an unprimeable number, because it can be changed into a prime (85853102249) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 125699662 + ... + 125700344.

Almost surely, 2^85853102049 is an apocalyptic number.

85853102049 is the 293007-th square number.

85853102049 is the 146504-th centered octagonal number.

It is an amenable number.

85853102049 is a deficient number, since it is larger than the sum of its proper divisors (61963705362).

85853102049 is a wasteful number, since it uses less digits than its factorization.

85853102049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 85853102049 in words is "eighty-five billion, eight hundred fifty-three million, one hundred two thousand, forty-nine".