34053166225 has 81 divisors (see below), whose sum is σ = 48864379827. Its totient is φ = 23525998080.

The previous prime is 34053166211. The next prime is 34053166241. The reversal of 34053166225 is 52266135043.

The square root of 34053166225 is 184535.

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 24800265361 + 9252900864 = 157481^2 + 96192^2 .

It is not a de Polignac number, because 34053166225 - 2²³ = 34044777617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 203911092 + ... + 203911258.

Almost surely, 2^34053166225 is an apocalyptic number.

34053166225 is the 184535-th square number.

34053166225 is the 92268-th centered octagonal number.

It is an amenable number.

34053166225 is a deficient number, since it is larger than the sum of its proper divisors (14811213602).

34053166225 is a wasteful number, since it uses less digits than its factorization.

34053166225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 34053166225 in words is "thirty-four billion, fifty-three million, one hundred sixty-six thousand, two hundred twenty-five".