1053182905009 has 9 divisors (see below), whose sum is σ = 1111551567723. Its totient is φ = 997733753352.

The previous prime is 1053182904967. The next prime is 1053182905037. The reversal of 1053182905009 is 9005092813501.

It is a happy number.

The square root of 1053182905009 is 1026247.

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., 91551630625 + 961631274384 = 302575^2 + 980628^2 .

It is not a de Polignac number, because 1053182905009 - 2⁹ = 1053182904497 is a prime.

It is a super-2 number, since 2×1053182905009² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1053182905109) 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, 19471687 + ... + 19525699.

It is an arithmetic number, because the mean of its divisors is an integer number (123505729747).

Almost surely, 2^{1053182905009} is an apocalyptic number.

1053182905009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1053182905009 is the 1026247-th square number.

1053182905009 is the 513124-th centered octagonal number.

It is an amenable number.

1053182905009 is a deficient number, since it is larger than the sum of its proper divisors (58368662714).

1053182905009 is an frugal number, since it uses more digits than its factorization.

1053182905009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108064 (or 54032 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 1053182905009 in words is "one trillion, fifty-three billion, one hundred eighty-two million, nine hundred five thousand, nine".