10083172225 has 81 divisors (see below), whose sum is σ = 15452579331. Its totient is φ = 6506892000.

The previous prime is 10083172219. The next prime is 10083172241. The reversal of 10083172225 is 52227138001.

The square root of 10083172225 is 100415.

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., 3629942001 + 6453230224 = 60249^2 + 80332^2 .

It is not a de Polignac number, because 10083172225 - 2¹¹ = 10083170177 is a prime.

It is a super-2 number, since 2×10083172225² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 66775900 + ... + 66776050.

Almost surely, 2^10083172225 is an apocalyptic number.

10083172225 is the 100415-th square number.

10083172225 is the 50208-th centered octagonal number.

It is an amenable number.

10083172225 is a deficient number, since it is larger than the sum of its proper divisors (5369407106).

10083172225 is an equidigital number, since it uses as much as digits as its factorization.

10083172225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

It can be divided in two parts, 100831 and 72225, that added together give a square (173056 = 416²).

The spelling of 10083172225 in words is "ten billion, eighty-three million, one hundred seventy-two thousand, two hundred twenty-five".