34839329175225 has 243 divisors, whose sum is σ = 67367309709063. Its totient is φ = 17207679790080.

The previous prime is 34839329175197. The next prime is 34839329175247. The reversal of 34839329175225 is 52257192393843.

The square root of 34839329175225 is 5902485.

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

34839329175225 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 93 + 2 + 9 + 17 + 522 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 226251484281 + 34613077690944 = 475659^2 + 5883288^2 .

It is not a de Polignac number, because 34839329175225 - 2⁵ = 34839329175193 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 118905560179 + ... + 118905560471.

Almost surely, 2^{34839329175225} is an apocalyptic number.

34839329175225 is the 5902485-th square number.

34839329175225 is the 2951243-rd centered octagonal number.

It is an amenable number.

34839329175225 is a deficient number, since it is larger than the sum of its proper divisors (32527980533838).

34839329175225 is an equidigital number, since it uses as much as digits as its factorization.

34839329175225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 34839329175225 in words is "thirty-four trillion, eight hundred thirty-nine billion, three hundred twenty-nine million, one hundred seventy-five thousand, two hundred twenty-five".