55281827280625 has 135 divisors (see below), whose sum is σ = 80194162129389. Its totient is φ = 38062147860000.

The previous prime is 55281827280623. The next prime is 55281827280689. The reversal of 55281827280625 is 52608272818255.

The square root of 55281827280625 is 7435175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4334095258801 + 50947732021824 = 2081849^2 + 7137768^2 .

It is not a de Polignac number, because 55281827280625 - 2¹ = 55281827280623 is a prime.

It is a super-3 number, since 3×55281827280625³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (55281827280623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 38848788664 + ... + 38848790086.

Almost surely, 2^{55281827280625} is an apocalyptic number.

55281827280625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55281827280625 is the 7435175-th square number.

55281827280625 is the 3717588-th centered octagonal number.

It is an amenable number.

55281827280625 is a deficient number, since it is larger than the sum of its proper divisors (24912334848764).

55281827280625 is an frugal number, since it uses more digits than its factorization.

55281827280625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 61.

The spelling of 55281827280625 in words is "fifty-five trillion, two hundred eighty-one billion, eight hundred twenty-seven million, two hundred eighty thousand, six hundred twenty-five".