8285215344025 has 81 divisors (see below), whose sum is σ = 11128814391933. Its totient is φ = 6117877123200.

The previous prime is 8285215344023. The next prime is 8285215344053. The reversal of 8285215344025 is 5204435125828.

The square root of 8285215344025 is 2878405.

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 3487380707209 + 4797834636816 = 1867453^2 + 2190396^2 .

It is not a de Polignac number, because 8285215344025 - 2¹ = 8285215344023 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 8285215344025.

It is not an unprimeable number, because it can be changed into a prime (8285215344023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11211387106 + ... + 11211387844.

Almost surely, 2^{8285215344025} is an apocalyptic number.

8285215344025 is the 2878405-th square number.

8285215344025 is the 1439203-rd centered octagonal number.

It is an amenable number.

8285215344025 is a deficient number, since it is larger than the sum of its proper divisors (2843599047908).

8285215344025 is an frugal number, since it uses more digits than its factorization.

8285215344025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 49.

Multiplying 8285215344025 by its sum of digits (49), we get a square (405975551857225 = 20148835²).

The spelling of 8285215344025 in words is "eight trillion, two hundred eighty-five billion, two hundred fifteen million, three hundred forty-four thousand, twenty-five".