8171256025 has 27 divisors (see below), whose sum is σ = 10291161853. Its totient is φ = 6436124000.

The previous prime is 8171256019. The next prime is 8171256031. The reversal of 8171256025 is 5206521718.

The square root of 8171256025 is 90395.

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

It is an interprime number because it is at equal distance from previous prime (8171256019) and next prime (8171256031).

It can be written as a sum of positive squares in 4 ways, for example, as 1508778649 + 6662477376 = 38843^2 + 81624^2 .

It is not a de Polignac number, because 8171256025 - 2²⁷ = 8037038297 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 26 ways as a sum of consecutive naturals, for example, 45649386 + ... + 45649564.

Almost surely, 2^8171256025 is an apocalyptic number.

8171256025 is the 90395-th square number.

8171256025 is the 45198-th centered octagonal number.

It is an amenable number.

8171256025 is a deficient number, since it is larger than the sum of its proper divisors (2119905828).

8171256025 is an equidigital number, since it uses as much as digits as its factorization.

8171256025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The cubic root of 8171256025 is about 2014.1706939994.

It can be divided in two parts, 8171 and 256025, that added together give a square (264196 = 514²).

The spelling of 8171256025 in words is "eight billion, one hundred seventy-one million, two hundred fifty-six thousand, twenty-five".