2052741042121 has 81 divisors (see below), whose sum is σ = 2747171872263. Its totient is φ = 1528102107840.

The previous prime is 2052741042083. The next prime is 2052741042169. The reversal of 2052741042121 is 1212401472502.

The square root of 2052741042121 is 1432739.

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., 1806844067721 + 245896974400 = 1344189^2 + 495880^2 .

It is not a de Polignac number, because 2052741042121 - 2¹¹ = 2052741040073 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2052741048121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2537380365 + ... + 2537381173.

Almost surely, 2^{2052741042121} is an apocalyptic number.

2052741042121 is the 1432739-th square number.

2052741042121 is the 716370-th centered octagonal number.

It is an amenable number.

2052741042121 is a deficient number, since it is larger than the sum of its proper divisors (694430830142).

2052741042121 is an frugal number, since it uses more digits than its factorization.

2052741042121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 2052741042121 in words is "two trillion, fifty-two billion, seven hundred forty-one million, forty-two thousand, one hundred twenty-one".