2983858938225 has 405 divisors, whose sum is σ = 6421998005969. Its totient is φ = 1323315100800.

The previous prime is 2983858938217. The next prime is 2983858938227. The reversal of 2983858938225 is 5228398583892.

The square root of 2983858938225 is 1727385.

It is a perfect power (a square), and thus also a powerful number.

2983858938225 is a `hidden beast` number, since 2 + 9 + 8 + 3 + 8 + 589 + 38 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41014755441 + 2942844182784 = 202521^2 + 1715472^2 .

It is not a de Polignac number, because 2983858938225 - 2³ = 2983858938217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2983858938227) by changing a digit.

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 404 ways as a sum of consecutive naturals, for example, 102891687511 + ... + 102891687539.

Almost surely, 2^{2983858938225} is an apocalyptic number.

2983858938225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2983858938225 is the 1727385-th square number.

2983858938225 is the 863693-rd centered octagonal number.

It is an amenable number.

2983858938225 is an abundant number, since it is smaller than the sum of its proper divisors (3438139067744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2983858938225 is an equidigital number, since it uses as much as digits as its factorization.

2983858938225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 67 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 2983858938225 in words is "two trillion, nine hundred eighty-three billion, eight hundred fifty-eight million, nine hundred thirty-eight thousand, two hundred twenty-five".