52611055641 has 27 divisors (see below), whose sum is σ = 76855135773. Its totient is φ = 34680895200.

The previous prime is 52611055633. The next prime is 52611055667. The reversal of 52611055641 is 14655011625.

The square root of 52611055641 is 229371.

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

52611055641 is a `hidden beast` number, since 5 + 2 + 6 + 1 + 1 + 0 + 5 + 5 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22092363225 + 30518692416 = 148635^2 + 174696^2 .

It is not a de Polignac number, because 52611055641 - 2³ = 52611055633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52611055596 and 52611055605.

It is not an unprimeable number, because it can be changed into a prime (52611055621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69499035 + ... + 69499791.

Almost surely, 2^52611055641 is an apocalyptic number.

52611055641 is the 229371-st square number.

52611055641 is the 114686-th centered octagonal number.

It is an amenable number.

52611055641 is a deficient number, since it is larger than the sum of its proper divisors (24244080132).

52611055641 is an frugal number, since it uses more digits than its factorization.

52611055641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Multiplying 52611055641 by its sum of digits (36), we get a square (1893998003076 = 1376226²).

The spelling of 52611055641 in words is "fifty-two billion, six hundred eleven million, fifty-five thousand, six hundred forty-one".