53921161668609 has 27 divisors (see below), whose sum is σ = 78023476822473. Its totient is φ = 35884158250752.

The previous prime is 53921161668587. The next prime is 53921161668659. The reversal of 53921161668609 is 90686616112935.

The square root of 53921161668609 is 7343103.

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

53921161668609 is a `hidden beast` number, since 5 + 3 + 9 + 2 + 1 + 1 + 6 + 16 + 6 + 8 + 609 = 666.

53921161668609 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 4 ways, for example, as 27609801777009 + 26311359891600 = 5254503^2 + 5129460^2 .

It is not a de Polignac number, because 53921161668609 - 2⁷ = 53921161668481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53921161668659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14825723139 + ... + 14825726775.

Almost surely, 2^{53921161668609} is an apocalyptic number.

53921161668609 is the 7343103-rd square number.

53921161668609 is the 3671552-nd centered octagonal number.

It is an amenable number.

53921161668609 is a deficient number, since it is larger than the sum of its proper divisors (24102315153864).

53921161668609 is an frugal number, since it uses more digits than its factorization.

53921161668609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 53921161668609 in words is "fifty-three trillion, nine hundred twenty-one billion, one hundred sixty-one million, six hundred sixty-eight thousand, six hundred nine".