85881233025 has 81 divisors (see below), whose sum is σ = 179000897283. Its totient is φ = 39245925600.

The previous prime is 85881233003. The next prime is 85881233107. The reversal of 85881233025 is 52033218858.

The square root of 85881233025 is 293055.

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

85881233025 is a `hidden beast` number, since 8 + 588 + 12 + 3 + 30 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30917243889 + 54963989136 = 175833^2 + 234444^2 .

It is not a de Polignac number, because 85881233025 - 2⁵ = 85881232993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30769380 + ... + 30772170.

Almost surely, 2^85881233025 is an apocalyptic number.

85881233025 is the 293055-th square number.

85881233025 is the 146528-th centered octagonal number.

It is an amenable number.

85881233025 is an abundant number, since it is smaller than the sum of its proper divisors (93119664258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85881233025 is an equidigital number, since it uses as much as digits as its factorization.

85881233025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 85881233025 in words is "eighty-five billion, eight hundred eighty-one million, two hundred thirty-three thousand, twenty-five".