875135520 has 288 divisors, whose sum is σ = 3614502528. Its totient is φ = 188227584.

The previous prime is 875135509. The next prime is 875135531. The reversal of 875135520 is 25531578.

875135520 is a `hidden beast` number, since 87 + 51 + 3 + 5 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (875135509) and next prime (875135531).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168807 + ... + 173913.

It is an arithmetic number, because the mean of its divisors is an integer number (12550356).

Almost surely, 2^875135520 is an apocalyptic number.

875135520 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 875135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807251264).

875135520 is an abundant number, since it is smaller than the sum of its proper divisors (2739367008).

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

875135520 is a wasteful number, since it uses less digits than its factorization.

875135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 875135520 is about 29582.6895329008. The cubic root of 875135520 is about 956.5149679674.

The spelling of 875135520 in words is "eight hundred seventy-five million, one hundred thirty-five thousand, five hundred twenty".