1982551296961 has 3 divisors (see below), whose sum is σ = 1982552704993. Its totient is φ = 1982549888930.

The previous prime is 1982551296937. The next prime is 1982551296967. The reversal of 1982551296961 is 1696921552891.

It is a happy number.

The square root of 1982551296961 is 1408031.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 1982551296961 - 2¹⁵ = 1982551264193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1982551296893 and 1982551296902.

It is not an unprimeable number, because it can be changed into a prime (1982551296967) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 704016 + ... + 2112046.

Almost surely, 2^{1982551296961} is an apocalyptic number.

1982551296961 is the 1408031-st square number.

1982551296961 is the 704016-th centered octagonal number.

It is an amenable number.

1982551296961 is a deficient number, since it is larger than the sum of its proper divisors (1408032).

1982551296961 is an frugal number, since it uses more digits than its factorization.

1982551296961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816062 (or 1408031 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 64.

Multiplying 1982551296961 by its sum of digits (64), we get a square (126883283005504 = 11264248²).

The spelling of 1982551296961 in words is "one trillion, nine hundred eighty-two billion, five hundred fifty-one million, two hundred ninety-six thousand, nine hundred sixty-one".