850209396625 has 16 divisors (see below), whose sum is σ = 1062638046288. Its totient is φ = 679156800000.

The previous prime is 850209396611. The next prime is 850209396661. The reversal of 850209396625 is 526693902058.

It is a happy number.

It is a Cunningham number, because it is equal to 922068²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 571970026369 + 278239370256 = 756287^2 + 527484^2 .

It is not a de Polignac number, because 850209396625 - 2²⁵ = 850175842193 is a prime.

It is a super-2 number, since 2×850209396625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4969126 + ... + 5137375.

It is an arithmetic number, because the mean of its divisors is an integer number (66414877893).

Almost surely, 2^850209396625 is an apocalyptic number.

It is an amenable number.

850209396625 is a deficient number, since it is larger than the sum of its proper divisors (212428649663).

850209396625 is a wasteful number, since it uses less digits than its factorization.

850209396625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10107189 (or 10107179 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 850209396625 in words is "eight hundred fifty billion, two hundred nine million, three hundred ninety-six thousand, six hundred twenty-five".