8293521825 has 96 divisors (see below), whose sum is σ = 16300206720. Its totient is φ = 4119552000.

The previous prime is 8293521799. The next prime is 8293521881. The reversal of 8293521825 is 5281253928.

It is not a de Polignac number, because 8293521825 - 2¹⁰ = 8293520801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1109350 + ... + 1116800.

It is an arithmetic number, because the mean of its divisors is an integer number (169793820).

Almost surely, 2^8293521825 is an apocalyptic number.

8293521825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8293521825 is a deficient number, since it is larger than the sum of its proper divisors (8006684895).

8293521825 is a wasteful number, since it uses less digits than its factorization.

8293521825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7573 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 8293521825 is about 91068.7752470626. The cubic root of 8293521825 is about 2024.1669550168.

The spelling of 8293521825 in words is "eight billion, two hundred ninety-three million, five hundred twenty-one thousand, eight hundred twenty-five".