85963308025 has 27 divisors (see below), whose sum is σ = 124012489869. Its totient is φ = 58939231680.

The previous prime is 85963308023. The next prime is 85963308061. The reversal of 85963308025 is 52080336958.

The square root of 85963308025 is 293195.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22614445161 + 63348862864 = 150381^2 + 251692^2 .

It is not a de Polignac number, because 85963308025 - 2¹ = 85963308023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85963308025.

It is not an unprimeable number, because it can be changed into a prime (85963308023) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 10257637 + ... + 10266013.

Almost surely, 2^85963308025 is an apocalyptic number.

85963308025 is the 293195-th square number.

85963308025 is the 146598-th centered octagonal number.

It is an amenable number.

85963308025 is a deficient number, since it is larger than the sum of its proper divisors (38049181844).

85963308025 is an frugal number, since it uses more digits than its factorization.

85963308025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16778 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 85963308025 by its sum of digits (49), we get a square (4212202093225 = 2052365²).

85963308025 divided by its sum of digits (49) gives a square (1754353225 = 41885²).

The spelling of 85963308025 in words is "eighty-five billion, nine hundred sixty-three million, three hundred eight thousand, twenty-five".