52777251289 has 27 divisors (see below), whose sum is σ = 63169303743. Its totient is φ = 43965382608.

The previous prime is 52777251239. The next prime is 52777251337. The reversal of 52777251289 is 98215277725.

The square root of 52777251289 is 229733.

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

52777251289 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 only one way, i.e., 47225809225 + 5551442064 = 217315^2 + 74508^2 .

It is not a de Polignac number, because 52777251289 - 2⁷ = 52777251161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52777251239) 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, 59500404 + ... + 59501290.

Almost surely, 2^52777251289 is an apocalyptic number.

52777251289 is the 229733-rd square number.

52777251289 is the 114867-th centered octagonal number.

It is an amenable number.

52777251289 is a deficient number, since it is larger than the sum of its proper divisors (10392052454).

52777251289 is an frugal number, since it uses more digits than its factorization.

52777251289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 55.

The spelling of 52777251289 in words is "fifty-two billion, seven hundred seventy-seven million, two hundred fifty-one thousand, two hundred eighty-nine".