2052781159009 has 9 divisors (see below), whose sum is σ = 2387940770097. Its totient is φ = 1759518111204.

The previous prime is 2052781158983. The next prime is 2052781159057. The reversal of 2052781159009 is 9009511872502.

The square root of 2052781159009 is 1432753.

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

It is not a de Polignac number, because 2052781159009 - 2⁷ = 2052781158881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2052781159069) by changing a digit.

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, 9926932 + ... + 10131610.

It is an arithmetic number, because the mean of its divisors is an integer number (265326752233).

Almost surely, 2^{2052781159009} is an apocalyptic number.

2052781159009 is the 1432753-rd square number.

2052781159009 is the 716377-th centered octagonal number.

It is an amenable number.

2052781159009 is a deficient number, since it is larger than the sum of its proper divisors (335159611088).

2052781159009 is an frugal number, since it uses more digits than its factorization.

2052781159009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409372 (or 204686 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 49.

Multiplying 2052781159009 by its sum of digits (49), we get a square (100586276791441 = 10029271²).

2052781159009 divided by its sum of digits (49) gives a square (41893493041 = 204679²).

The spelling of 2052781159009 in words is "two trillion, fifty-two billion, seven hundred eighty-one million, one hundred fifty-nine thousand, nine".