985105875625 has 75 divisors (see below), whose sum is σ = 1310313761471. Its totient is φ = 740344248000.

The previous prime is 985105875623. The next prime is 985105875631. The reversal of 985105875625 is 526578501589.

The square root of 985105875625 is 992525.

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

985105875625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 37 ways, for example, as 967364701209 + 17741174416 = 983547^2 + 133196^2 .

It is not a de Polignac number, because 985105875625 - 2¹ = 985105875623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (985105875623) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 26624483107 + ... + 26624483143.

Almost surely, 2^985105875625 is an apocalyptic number.

985105875625 is the 992525-th square number.

985105875625 is the 496263-rd centered octagonal number.

It is an amenable number.

985105875625 is a deficient number, since it is larger than the sum of its proper divisors (325207885846).

985105875625 is an frugal number, since it uses more digits than its factorization.

985105875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 61.

The spelling of 985105875625 in words is "nine hundred eighty-five billion, one hundred five million, eight hundred seventy-five thousand, six hundred twenty-five".