55141985835225 has 135 divisors (see below), whose sum is σ = 104391225292431. Its totient is φ = 28775136405600.

The previous prime is 55141985835191. The next prime is 55141985835227. The reversal of 55141985835225 is 52253858914155.

The square root of 55141985835225 is 7425765.

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

55141985835225 is a `hidden beast` number, since 5 + 5 + 1 + 41 + 9 + 8 + 583 + 5 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19851114900681 + 35290870934544 = 4455459^2 + 5940612^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 55141985835225 - 2⁹ = 55141985834713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55141985835227) 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, 15705491220 + ... + 15705494730.

Almost surely, 2^{55141985835225} is an apocalyptic number.

55141985835225 is the 7425765-th square number.

55141985835225 is the 3712883-rd centered octagonal number.

It is an amenable number.

55141985835225 is a deficient number, since it is larger than the sum of its proper divisors (49249239457206).

55141985835225 is an frugal number, since it uses more digits than its factorization.

55141985835225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 3566 counting only the distinct ones).

The product of its digits is 86400000, while the sum is 63.

The spelling of 55141985835225 in words is "fifty-five trillion, one hundred forty-one billion, nine hundred eighty-five million, eight hundred thirty-five thousand, two hundred twenty-five".