1052054335809 has 81 divisors (see below), whose sum is σ = 1615473736617. Its totient is φ = 659728310400.

The previous prime is 1052054335777. The next prime is 1052054335811. The reversal of 1052054335809 is 9085334502501.

The square root of 1052054335809 is 1025697.

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

1052054335809 is a `hidden beast` number, since 1 + 0 + 5 + 20 + 5 + 43 + 3 + 580 + 9 = 666.

1052054335809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 827093845809 + 224960490000 = 909447^2 + 474300^2 .

It is not a de Polignac number, because 1052054335809 - 2⁵ = 1052054335777 is a prime.

It is a super-2 number, since 2×1052054335809² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052054335819) 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, 3910982527 + ... + 3910982795.

Almost surely, 2^{1052054335809} is an apocalyptic number.

1052054335809 is the 1025697-th square number.

1052054335809 is the 512849-th centered octagonal number.

It is an amenable number.

1052054335809 is a deficient number, since it is larger than the sum of its proper divisors (563419400808).

1052054335809 is an frugal number, since it uses more digits than its factorization.

1052054335809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1052054335809 in words is "one trillion, fifty-two billion, fifty-four million, three hundred thirty-five thousand, eight hundred nine".