853500385 has 16 divisors (see below), whose sum is σ = 1086178896. Its totient is φ = 641609728.

The previous prime is 853500383. The next prime is 853500391. The reversal of 853500385 is 583005358.

It can be written as a sum of positive squares in 8 ways, for example, as 84658401 + 768841984 = 9201^2 + 27728^2 .

It is a cyclic number.

It is not a de Polignac number, because 853500385 - 2¹ = 853500383 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (853500383) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47817 + ... + 63193.

It is an arithmetic number, because the mean of its divisors is an integer number (67886181).

Almost surely, 2^853500385 is an apocalyptic number.

853500385 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

853500385 is a deficient number, since it is larger than the sum of its proper divisors (232678511).

853500385 is a wasteful number, since it uses less digits than its factorization.

853500385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16052.

The product of its (nonzero) digits is 72000, while the sum is 37.

The square root of 853500385 is about 29214.7289051259. The cubic root of 853500385 is about 948.5667714250.

The spelling of 853500385 in words is "eight hundred fifty-three million, five hundred thousand, three hundred eighty-five".