1983548308225 has 81 divisors (see below), whose sum is σ = 2803141459209. Its totient is φ = 1391259038400.

The previous prime is 1983548308187. The next prime is 1983548308229. The reversal of 1983548308225 is 5228038453891.

The square root of 1983548308225 is 1408385.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27264944641 + 1956283363584 = 165121^2 + 1398672^2 .

It is not a de Polignac number, because 1983548308225 - 2²⁵ = 1983514753793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1983548308225.

It is not an unprimeable number, because it can be changed into a prime (1983548308229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2246373634 + ... + 2246374516.

Almost surely, 2^{1983548308225} is an apocalyptic number.

1983548308225 is the 1408385-th square number.

1983548308225 is the 704193-rd centered octagonal number.

It is an amenable number.

1983548308225 is a deficient number, since it is larger than the sum of its proper divisors (819593150984).

1983548308225 is an frugal number, since it uses more digits than its factorization.

1983548308225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 1983548308225 in words is "one trillion, nine hundred eighty-three billion, five hundred forty-eight million, three hundred eight thousand, two hundred twenty-five".