8130051072 has 528 divisors, whose sum is σ = 28612147200. Its totient is φ = 2189721600.

The previous prime is 8130051071. The next prime is 8130051073. The reversal of 8130051072 is 2701500318.

8130051072 is a `hidden beast` number, since 81 + 3 + 0 + 0 + 510 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (8130051071) and next prime (8130051073).

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130051071) 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, 40854429 + ... + 40854627.

Almost surely, 2^8130051072 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 8130051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306073600).

8130051072 is an abundant number, since it is smaller than the sum of its proper divisors (20482096128).

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

8130051072 is a wasteful number, since it uses less digits than its factorization.

8130051072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 8130051072 is about 90166.7958397103. The cubic root of 8130051072 is about 2010.7793873613.

The spelling of 8130051072 in words is "eight billion, one hundred thirty million, fifty-one thousand, seventy-two".