54763956289 has 27 divisors (see below), whose sum is σ = 64536972003. Its totient is φ = 46335366000.

The previous prime is 54763956241. The next prime is 54763956301. The reversal of 54763956289 is 98265936745.

The square root of 54763956289 is 234017.

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., 52616560689 + 2147395600 = 229383^2 + 46340^2 .

It is not a de Polignac number, because 54763956289 - 2⁹ = 54763955777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54763956289.

It is not an unprimeable number, because it can be changed into a prime (54763956589) 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, 165449854 + ... + 165450184.

Almost surely, 2^54763956289 is an apocalyptic number.

54763956289 is the 234017-th square number.

54763956289 is the 117009-th centered octagonal number.

It is an amenable number.

54763956289 is a deficient number, since it is larger than the sum of its proper divisors (9773015714).

54763956289 is an frugal number, since it uses more digits than its factorization.

54763956289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 64.

Multiplying 54763956289 by its sum of digits (64), we get a square (3504893202496 = 1872136²).

The spelling of 54763956289 in words is "fifty-four billion, seven hundred sixty-three million, nine hundred fifty-six thousand, two hundred eighty-nine".