8125813080 has 1008 divisors, whose sum is σ = 35795662560. Its totient is φ = 1652555520.

The previous prime is 8125813057. The next prime is 8125813081. The reversal of 8125813080 is 803185218.

It is a super-2 number, since 2×8125813080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8125813081) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 172889617 + ... + 172889663.

It is an arithmetic number, because the mean of its divisors is an integer number (35511570).

Almost surely, 2^8125813080 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 8125813080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17897831280).

8125813080 is an abundant number, since it is smaller than the sum of its proper divisors (27669849480).

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

8125813080 is a wasteful number, since it uses less digits than its factorization.

8125813080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 8125813080 is about 90143.2919301264. The cubic root of 8125813080 is about 2010.4299369900.

Adding to 8125813080 its reverse (803185218), we get a palindrome (8928998298).

The spelling of 8125813080 in words is "eight billion, one hundred twenty-five million, eight hundred thirteen thousand, eighty".