852580575 has 72 divisors (see below), whose sum is σ = 1903913856. Its totient is φ = 354312000.

The previous prime is 852580501. The next prime is 852580633. The reversal of 852580575 is 575085258.

It is not a de Polignac number, because 852580575 - 2¹⁴ = 852564191 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 852580575.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7281 + ... + 41930.

It is an arithmetic number, because the mean of its divisors is an integer number (26443248).

Almost surely, 2^852580575 is an apocalyptic number.

852580575 is an abundant number, since it is smaller than the sum of its proper divisors (1051333281).

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

852580575 is a wasteful number, since it uses less digits than its factorization.

852580575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49245 (or 49237 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The square root of 852580575 is about 29198.9824308999. The cubic root of 852580575 is about 948.2258948677.

The spelling of 852580575 in words is "eight hundred fifty-two million, five hundred eighty thousand, five hundred seventy-five".