1982956830625 has 135 divisors (see below), whose sum is σ = 2710885683429. Its totient is φ = 1449856980000.

The previous prime is 1982956830623. The next prime is 1982956830641. The reversal of 1982956830625 is 5260386592891.

The square root of 1982956830625 is 1408175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 155463815521 + 1827493015104 = 394289^2 + 1351848^2 .

It is not a de Polignac number, because 1982956830625 - 2¹ = 1982956830623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1982956830623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25100719336 + ... + 25100719414.

Almost surely, 2^{1982956830625} is an apocalyptic number.

1982956830625 is the 1408175-th square number.

1982956830625 is the 704088-th centered octagonal number.

It is an amenable number.

1982956830625 is a deficient number, since it is larger than the sum of its proper divisors (727928852804).

1982956830625 is an frugal number, since it uses more digits than its factorization.

1982956830625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 64.

Multiplying 1982956830625 by its sum of digits (64), we get a square (126909237160000 = 11265400²).

The spelling of 1982956830625 in words is "one trillion, nine hundred eighty-two billion, nine hundred fifty-six million, eight hundred thirty thousand, six hundred twenty-five".