8258265625 has 21 divisors (see below), whose sum is σ = 10336918467. Its totient is φ = 6597525000.

The previous prime is 8258265599. The next prime is 8258265629. The reversal of 8258265625 is 5265628528.

The square root of 8258265625 is 90875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 7235033481 + 1023232144 = 85059^2 + 31988^2 .

It is not a de Polignac number, because 8258265625 - 2⁷ = 8258265497 is a prime.

It is a super-2 number, since 2×8258265625² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8258265629) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 11359012 + ... + 11359738.

Almost surely, 2^8258265625 is an apocalyptic number.

8258265625 is the 90875-th square number.

8258265625 is the 45438-th centered octagonal number.

It is an amenable number.

8258265625 is a deficient number, since it is larger than the sum of its proper divisors (2078652842).

8258265625 is an frugal number, since it uses more digits than its factorization.

8258265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 732 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 49.

The cubic root of 8258265625 is about 2021.2946007193.

Multiplying 8258265625 by its sum of digits (49), we get a square (404655015625 = 636125²).

The spelling of 8258265625 in words is "eight billion, two hundred fifty-eight million, two hundred sixty-five thousand, six hundred twenty-five".