852578601 has 16 divisors (see below), whose sum is σ = 1308518400. Its totient is φ = 483681168.

The previous prime is 852578593. The next prime is 852578633. The reversal of 852578601 is 106875258.

It is not a de Polignac number, because 852578601 - 2³ = 852578593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (852578681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143121 + ... + 148958.

It is an arithmetic number, because the mean of its divisors is an integer number (81782400).

Almost surely, 2^852578601 is an apocalyptic number.

It is an amenable number.

852578601 is a deficient number, since it is larger than the sum of its proper divisors (455939799).

852578601 is a wasteful number, since it uses less digits than its factorization.

852578601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292228.

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 852578601 is about 29198.9486283325. The cubic root of 852578601 is about 948.2251630505.

The spelling of 852578601 in words is "eight hundred fifty-two million, five hundred seventy-eight thousand, six hundred one".