8113065975 has 288 divisors, whose sum is σ = 18808796160. Its totient is φ = 3405265920.

The previous prime is 8113065953. The next prime is 8113065991. The reversal of 8113065975 is 5795603118.

It is a happy number.

It is not a de Polignac number, because 8113065975 - 2¹³ = 8113057783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 8113065975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26426772 + ... + 26427078.

It is an arithmetic number, because the mean of its divisors is an integer number (65308320).

Almost surely, 2^8113065975 is an apocalyptic number.

8113065975 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8113065975 is an abundant number, since it is smaller than the sum of its proper divisors (10695730185).

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

8113065975 is a wasteful number, since it uses less digits than its factorization.

8113065975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 8113065975 is about 90072.5595006604. The cubic root of 8113065975 is about 2009.3781212709.

It can be divided in two parts, 811306 and 5975, that added together give a triangular number (817281 = T₁₂₇₈).

The spelling of 8113065975 in words is "eight billion, one hundred thirteen million, sixty-five thousand, nine hundred seventy-five".