8275011024 has 480 divisors, whose sum is σ = 27928212480. Its totient is φ = 2094833664.

The previous prime is 8275011007. The next prime is 8275011049. The reversal of 8275011024 is 4201105728.

It is a junction number, because it is equal to n+sod(n) for n = 8275010982 and 8275011000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85309344 + ... + 85309440.

It is an arithmetic number, because the mean of its divisors is an integer number (58183776).

Almost surely, 2^8275011024 is an apocalyptic number.

8275011024 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8275011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964106240).

8275011024 is an abundant number, since it is smaller than the sum of its proper divisors (19653201456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8275011024 is a wasteful number, since it uses less digits than its factorization.

8275011024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 8275011024 is about 90967.0875866651. The cubic root of 8275011024 is about 2022.6598806402.

The spelling of 8275011024 in words is "eight billion, two hundred seventy-five million, eleven thousand, twenty-four".