83085180025 has 9 divisors (see below), whose sum is σ = 103027410381. Its totient is φ = 66466991040.

The previous prime is 83085180001. The next prime is 83085180029. The reversal of 83085180025 is 52008158038.

The square root of 83085180025 is 288245.

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 25348779369 + 57736400656 = 159213^2 + 240284^2 .

It is not a de Polignac number, because 83085180025 - 2²⁵ = 83051625593 is a prime.

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 83085180025.

It is not an unprimeable number, because it can be changed into a prime (83085180029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1412401 + ... + 1470049.

Almost surely, 2^83085180025 is an apocalyptic number.

83085180025 is the 288245-th square number.

83085180025 is the 144123-rd centered octagonal number.

It is an amenable number.

83085180025 is a deficient number, since it is larger than the sum of its proper divisors (19942230356).

83085180025 is an frugal number, since it uses more digits than its factorization.

83085180025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115308 (or 57654 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 83085180025 in words is "eighty-three billion, eighty-five million, one hundred eighty thousand, twenty-five".