553132825441 has 27 divisors (see below), whose sum is σ = 648118901907. Its totient is φ = 470691209520.

The previous prime is 553132825433. The next prime is 553132825481. The reversal of 553132825441 is 144528231355.

The square root of 553132825441 is 743729.

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., 6095081041 + 547037744400 = 78071^2 + 739620^2 .

It is not a de Polignac number, because 553132825441 - 2³ = 553132825433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (553132825481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 942304350 + ... + 942304936.

Almost surely, 2^553132825441 is an apocalyptic number.

553132825441 is the 743729-th square number.

553132825441 is the 371865-th centered octagonal number.

It is an amenable number.

553132825441 is a deficient number, since it is larger than the sum of its proper divisors (94986076466).

553132825441 is an frugal number, since it uses more digits than its factorization.

553132825441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 775 counting only the distinct ones).

The product of its digits is 576000, while the sum is 43.

The spelling of 553132825441 in words is "five hundred fifty-three billion, one hundred thirty-two million, eight hundred twenty-five thousand, four hundred forty-one".