1053223955289 has 81 divisors (see below), whose sum is σ = 1691946836671. Its totient is φ = 630866850240.

The previous prime is 1053223955281. The next prime is 1053223955291. The reversal of 1053223955289 is 9825593223501.

The square root of 1053223955289 is 1026267.

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

1053223955289 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 2 + 3 + 9 + 552 + 89 = 666.

1053223955289 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 only one way, i.e., 618668768025 + 434555187264 = 786555^2 + 659208^2 .

It is not a de Polignac number, because 1053223955289 - 2³ = 1053223955281 is a prime.

It is a super-2 number, since 2×1053223955289² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1053223955281) 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, 4639752994 + ... + 4639753220.

Almost surely, 2^{1053223955289} is an apocalyptic number.

1053223955289 is the 1026267-th square number.

1053223955289 is the 513134-th centered octagonal number.

It is an amenable number.

1053223955289 is a deficient number, since it is larger than the sum of its proper divisors (638722881382).

1053223955289 is an equidigital number, since it uses as much as digits as its factorization.

1053223955289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 1053223955289 in words is "one trillion, fifty-three billion, two hundred twenty-three million, nine hundred fifty-five thousand, two hundred eighty-nine".