4627528066561 has 27 divisors (see below), whose sum is σ = 4760938286307. Its totient is φ = 4497836238720.

The previous prime is 4627528066529. The next prime is 4627528066591. The reversal of 4627528066561 is 1656608257264.

The square root of 4627528066561 is 2151169.

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., 2077936665025 + 2549591401536 = 1441505^2 + 1596744^2 .

It is not a de Polignac number, because 4627528066561 - 2⁵ = 4627528066529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4627528066496 and 4627528066505.

It is not an unprimeable number, because it can be changed into a prime (4627528066501) 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, 13980447166 + ... + 13980447496.

It is an arithmetic number, because the mean of its divisors is an integer number (176331047641).

Almost surely, 2^{4627528066561} is an apocalyptic number.

4627528066561 is the 2151169-th square number.

4627528066561 is the 1075585-th centered octagonal number.

It is an amenable number.

4627528066561 is a deficient number, since it is larger than the sum of its proper divisors (133410219746).

4627528066561 is an frugal number, since it uses more digits than its factorization.

4627528066561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 4627528066561 in words is "four trillion, six hundred twenty-seven billion, five hundred twenty-eight million, sixty-six thousand, five hundred sixty-one".