8130501600 has 288 divisors, whose sum is σ = 30179005920. Its totient is φ = 1883504640.

The previous prime is 8130501551. The next prime is 8130501607. The reversal of 8130501600 is 61050318.

It is a super-2 number, since 2×8130501600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130501607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522736 + ... + 538064.

It is an arithmetic number, because the mean of its divisors is an integer number (104788215).

Almost surely, 2^8130501600 is an apocalyptic number.

8130501600 is a gapful number since it is divisible by the number (80) 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 8130501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089502960).

8130501600 is an abundant number, since it is smaller than the sum of its proper divisors (22048504320).

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

8130501600 is a wasteful number, since it uses less digits than its factorization.

8130501600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15382 (or 15369 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 8130501600 is about 90169.2941083604. The cubic root of 8130501600 is about 2010.8165292224.

Adding to 8130501600 its reverse (61050318), we get a palindrome (8191551918).

The spelling of 8130501600 in words is "eight billion, one hundred thirty million, five hundred one thousand, six hundred".