8197517952 has 256 divisors, whose sum is σ = 27191404800. Its totient is φ = 2412343296.

The previous prime is 8197517921. The next prime is 8197517969. The reversal of 8197517952 is 2597157918.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029378 + ... + 1037310.

It is an arithmetic number, because the mean of its divisors is an integer number (106216425).

Almost surely, 2^8197517952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8197517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595702400).

8197517952 is an abundant number, since it is smaller than the sum of its proper divisors (18993886848).

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

8197517952 is a wasteful number, since it uses less digits than its factorization.

8197517952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7974 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 54.

The square root of 8197517952 is about 90540.1455267220. The cubic root of 8197517952 is about 2016.3261943835.

The spelling of 8197517952 in words is "eight billion, one hundred ninety-seven million, five hundred seventeen thousand, nine hundred fifty-two".