2052729580225 has 9 divisors (see below), whose sum is σ = 2545393562467. Its totient is φ = 1642177933240.

The previous prime is 2052729580201. The next prime is 2052729580247. The reversal of 2052729580225 is 5220859272502.

The square root of 2052729580225 is 1432735.

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., 738982648881 + 1313746931344 = 859641^2 + 1146188^2 .

It is not a de Polignac number, because 2052729580225 - 2¹⁷ = 2052729449153 is a prime.

It is a super-2 number, since 2×2052729580225² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7020402 + ... + 7306948.

Almost surely, 2^{2052729580225} is an apocalyptic number.

2052729580225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2052729580225 is the 1432735-th square number.

2052729580225 is the 716368-th centered octagonal number.

It is an amenable number.

2052729580225 is a deficient number, since it is larger than the sum of its proper divisors (492663982242).

2052729580225 is an frugal number, since it uses more digits than its factorization.

2052729580225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573104 (or 286552 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

Multiplying 2052729580225 by its sum of digits (49), we get a square (100583749431025 = 10029145²).

The spelling of 2052729580225 in words is "two trillion, fifty-two billion, seven hundred twenty-nine million, five hundred eighty thousand, two hundred twenty-five".