85693067273025 has 243 divisors, whose sum is σ = 159462978858729. Its totient is φ = 43989525360000.

The previous prime is 85693067273003. The next prime is 85693067273027. The reversal of 85693067273025 is 52037276039658.

It is a happy number.

The square root of 85693067273025 is 9257055.

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

85693067273025 is a `hidden beast` number, since 8 + 56 + 9 + 306 + 7 + 273 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39471778979649 + 46221288293376 = 6282657^2 + 6798624^2 .

It is not a de Polignac number, because 85693067273025 - 2²⁷ = 85692933055297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85693067273027) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 567503756700 + ... + 567503756850.

Almost surely, 2^{85693067273025} is an apocalyptic number.

85693067273025 is the 9257055-th square number.

85693067273025 is the 4628528-th centered octagonal number.

It is an amenable number.

85693067273025 is a deficient number, since it is larger than the sum of its proper divisors (73769911585704).

85693067273025 is an equidigital number, since it uses as much as digits as its factorization.

85693067273025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 85693067273025 in words is "eighty-five trillion, six hundred ninety-three billion, sixty-seven million, two hundred seventy-three thousand, twenty-five".