85027855313025 has 81 divisors (see below), whose sum is σ = 161784270802843. Its totient is φ = 42679468646400.

The previous prime is 85027855312969. The next prime is 85027855313029. The reversal of 85027855313025 is 52031355872058.

The square root of 85027855313025 is 9221055.

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

85027855313025 is a `hidden beast` number, since 8 + 5 + 0 + 2 + 7 + 85 + 531 + 3 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8084292337521 + 76943562975504 = 2843289^2 + 8771748^2 .

It is not a de Polignac number, because 85027855313025 - 2⁴⁵ = 49843483224193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85027855313029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2351350945 + ... + 2351387105.

Almost surely, 2^{85027855313025} is an apocalyptic number.

85027855313025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85027855313025 is the 9221055-th square number.

85027855313025 is the 4610528-th centered octagonal number.

It is an amenable number.

85027855313025 is a deficient number, since it is larger than the sum of its proper divisors (76756415489818).

85027855313025 is an frugal number, since it uses more digits than its factorization.

85027855313025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72372 (or 36186 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 85027855313025 in words is "eighty-five trillion, twenty-seven billion, eight hundred fifty-five million, three hundred thirteen thousand, twenty-five".