852451825 has 12 divisors (see below), whose sum is σ = 1119219660. Its totient is φ = 641845760.

The previous prime is 852451807. The next prime is 852451861. The reversal of 852451825 is 528154258.

It can be written as a sum of positive squares in 6 ways, for example, as 9072144 + 843379681 = 3012^2 + 29041^2 .

It is not a de Polignac number, because 852451825 - 2¹³ = 852443633 is a prime.

It is a super-2 number, since 2×852451825² = 1453348227891661250, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1002460 + ... + 1003309.

It is an arithmetic number, because the mean of its divisors is an integer number (93268305).

Almost surely, 2^852451825 is an apocalyptic number.

852451825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

852451825 is a deficient number, since it is larger than the sum of its proper divisors (266767835).

852451825 is a wasteful number, since it uses less digits than its factorization.

852451825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005796 (or 2005791 counting only the distinct ones).

The product of its digits is 128000, while the sum is 40.

The square root of 852451825 is about 29196.7776475419. Note that the first 3 decimals coincide. The cubic root of 852451825 is about 948.1781612640.

The spelling of 852451825 in words is "eight hundred fifty-two million, four hundred fifty-one thousand, eight hundred twenty-five".