10829524225 has 27 divisors (see below), whose sum is σ = 14550127419. Its totient is φ = 7992192000.

The previous prime is 10829524213. The next prime is 10829524241. The reversal of 10829524225 is 52242592801.

The square root of 10829524225 is 104065.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3277219009 + 7552305216 = 57247^2 + 86904^2 .

It is not a de Polignac number, because 10829524225 - 2⁵ = 10829524193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6763425 + ... + 6765025.

Almost surely, 2^10829524225 is an apocalyptic number.

10829524225 is the 104065-th square number.

10829524225 is the 52033-rd centered octagonal number.

It is an amenable number.

10829524225 is a deficient number, since it is larger than the sum of its proper divisors (3720603194).

10829524225 is an frugal number, since it uses more digits than its factorization.

10829524225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 10829524225 in words is "ten billion, eight hundred twenty-nine million, five hundred twenty-four thousand, two hundred twenty-five".