1983801825625 has 45 divisors (see below), whose sum is σ = 2528993181099. Its totient is φ = 1555632468000.

The previous prime is 1983801825571. The next prime is 1983801825631. The reversal of 1983801825625 is 5265281083891.

The square root of 1983801825625 is 1408475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1100780770761 + 883021054864 = 1049181^2 + 939692^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1983801825625 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 1983801825625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1866228844 + ... + 1866229906.

Almost surely, 2^{1983801825625} is an apocalyptic number.

1983801825625 is the 1408475-th square number.

1983801825625 is the 704238-th centered octagonal number.

It is an amenable number.

1983801825625 is a deficient number, since it is larger than the sum of its proper divisors (545191355474).

1983801825625 is an frugal number, since it uses more digits than its factorization.

1983801825625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 58.

The spelling of 1983801825625 in words is "one trillion, nine hundred eighty-three billion, eight hundred one million, eight hundred twenty-five thousand, six hundred twenty-five".