55097885612025 has 405 divisors, whose sum is σ = 112386227294583. Its totient is φ = 26679306700800.

The previous prime is 55097885611987. The next prime is 55097885612089. The reversal of 55097885612025 is 52021658879055.

The square root of 55097885612025 is 7422795.

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

55097885612025 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 7 + 8 + 8 + 5 + 612 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 52147996921449 + 2949888690576 = 7221357^2 + 1717524^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 55097885612025 - 2²⁵ = 55097852057593 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 176031583269 + ... + 176031583581.

Almost surely, 2^{55097885612025} is an apocalyptic number.

55097885612025 is the 7422795-th square number.

55097885612025 is the 3711398-th centered octagonal number.

It is an amenable number.

55097885612025 is an abundant number, since it is smaller than the sum of its proper divisors (57288341682558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55097885612025 is an equidigital number, since it uses as much as digits as its factorization.

55097885612025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 63.

The spelling of 55097885612025 in words is "fifty-five trillion, ninety-seven billion, eight hundred eighty-five million, six hundred twelve thousand, twenty-five".