2053086721 has 9 divisors (see below), whose sum is σ = 2388653571. Its totient is φ = 1759516752.

The previous prime is 2053086713. The next prime is 2053086733. The reversal of 2053086721 is 1276803502.

It is a happy number.

The square root of 2053086721 is 45311.

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., 377330625 + 1675756096 = 19425^2 + 40936^2 .

It is not a de Polignac number, because 2053086721 - 2³ = 2053086713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2053086121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 313941 + ... + 320413.

Almost surely, 2^2053086721 is an apocalyptic number.

2053086721 is the 45311-st square number.

2053086721 is the 22656-th centered octagonal number.

It is an amenable number.

2053086721 is a deficient number, since it is larger than the sum of its proper divisors (335566850).

2053086721 is an frugal number, since it uses more digits than its factorization.

2053086721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12960 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The cubic root of 2053086721 is about 1270.9713611480.

The spelling of 2053086721 in words is "two billion, fifty-three million, eighty-six thousand, seven hundred twenty-one".