85933991025 has 27 divisors (see below), whose sum is σ = 153925202379. Its totient is φ = 45829116720.

The previous prime is 85933990991. The next prime is 85933991053. The reversal of 85933991025 is 52019933958.

The square root of 85933991025 is 293145.

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

85933991025 is a `hidden beast` number, since 8 + 593 + 39 + 9 + 10 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30936236769 + 54997754256 = 175887^2 + 234516^2 .

It is not a de Polignac number, because 85933991025 - 2¹³ = 85933982833 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4387404 + ... + 4406946.

Almost surely, 2^85933991025 is an apocalyptic number.

85933991025 is the 293145-th square number.

85933991025 is the 146573-rd centered octagonal number.

It is an amenable number.

85933991025 is a deficient number, since it is larger than the sum of its proper divisors (67991211354).

85933991025 is an frugal number, since it uses more digits than its factorization.

85933991025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39102 (or 19551 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 85933991025 in words is "eighty-five billion, nine hundred thirty-three million, nine hundred ninety-one thousand, twenty-five".