2082505861921 has 9 divisors (see below), whose sum is σ = 2177020976529. Its totient is φ = 1991930380836.

The previous prime is 2082505861871. The next prime is 2082505861937. The reversal of 2082505861921 is 1291685052802.

The square root of 2082505861921 is 1443089.

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

It is not a de Polignac number, because 2082505861921 - 2⁹ = 2082505861409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2082505861321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33159676 + ... + 33222418.

Almost surely, 2^{2082505861921} is an apocalyptic number.

2082505861921 is the 1443089-th square number.

2082505861921 is the 721545-th centered octagonal number.

It is an amenable number.

2082505861921 is a deficient number, since it is larger than the sum of its proper divisors (94515114608).

2082505861921 is an frugal number, since it uses more digits than its factorization.

2082505861921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125532 (or 62766 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

Multiplying 2082505861921 by its sum of digits (49), we get a square (102042787234129 = 10101623²).

The spelling of 2082505861921 in words is "two trillion, eighty-two billion, five hundred five million, eight hundred sixty-one thousand, nine hundred twenty-one".