10281802575625 has 135 divisors (see below), whose sum is σ = 15213950026803. Its totient is φ = 6926094000000.

The previous prime is 10281802575619. The next prime is 10281802575661. The reversal of 10281802575625 is 52657520818201.

It is a happy number.

The square root of 10281802575625 is 3206525.

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

10281802575625 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 7 ways, for example, as 7292748859081 + 2989053716544 = 2700509^2 + 1728888^2 .

It is not a de Polignac number, because 10281802575625 - 2³ = 10281802575617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 40963356750 + ... + 40963357000.

Almost surely, 2^{10281802575625} is an apocalyptic number.

10281802575625 is the 3206525-th square number.

10281802575625 is the 1603263-rd centered octagonal number.

It is an amenable number.

10281802575625 is a deficient number, since it is larger than the sum of its proper divisors (4932147451178).

10281802575625 is an frugal number, since it uses more digits than its factorization.

10281802575625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 52.

The spelling of 10281802575625 in words is "ten trillion, two hundred eighty-one billion, eight hundred two million, five hundred seventy-five thousand, six hundred twenty-five".