1982151436321 has 27 divisors (see below), whose sum is σ = 2449586893107. Its totient is φ = 1598911379520.

The previous prime is 1982151436261. The next prime is 1982151436357. The reversal of 1982151436321 is 1236341512891.

The square root of 1982151436321 is 1407889.

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

It can be written as a sum of positive squares in only one way, i.e., 1543197485025 + 438953951296 = 1242255^2 + 662536^2 .

It is not a de Polignac number, because 1982151436321 - 2⁷ = 1982151436193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1982151439321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 167532876 + ... + 167544706.

Almost surely, 2^{1982151436321} is an apocalyptic number.

1982151436321 is the 1407889-th square number.

1982151436321 is the 703945-th centered octagonal number.

It is an amenable number.

1982151436321 is a deficient number, since it is larger than the sum of its proper divisors (467435456786).

1982151436321 is an frugal number, since it uses more digits than its factorization.

1982151436321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23710 (or 11855 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The spelling of 1982151436321 in words is "one trillion, nine hundred eighty-two billion, one hundred fifty-one million, four hundred thirty-six thousand, three hundred twenty-one".