2081825361 has 64 divisors (see below), whose sum is σ = 3855667200. Its totient is φ = 1078531200.

The previous prime is 2081825359. The next prime is 2081825371. The reversal of 2081825361 is 1635281802.

It is a happy number.

It is not a de Polignac number, because 2081825361 - 2¹ = 2081825359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2081825341) 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 63 ways as a sum of consecutive naturals, for example, 911541 + ... + 913821.

It is an arithmetic number, because the mean of its divisors is an integer number (60244800).

Almost surely, 2^2081825361 is an apocalyptic number.

2081825361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2081825361 is a deficient number, since it is larger than the sum of its proper divisors (1773841839).

2081825361 is a wasteful number, since it uses less digits than its factorization.

2081825361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2081825361 is about 45627.0244591952. The cubic root of 2081825361 is about 1276.8741600302.

The spelling of 2081825361 in words is "two billion, eighty-one million, eight hundred twenty-five thousand, three hundred sixty-one".