52777251288 has 96 divisors (see below), whose sum is σ = 144958195200. Its totient is φ = 17344476864.

The previous prime is 52777251239. The next prime is 52777251337. The reversal of 52777251288 is 88215277725.

It is a happy number.

52777251288 is a `hidden beast` number, since 52 + 7 + 7 + 72 + 512 + 8 + 8 = 666.

It is a Cunningham number, because it is equal to 229733²-1.

It is an interprime number because it is at equal distance from previous prime (52777251239) and next prime (52777251337).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4128795 + ... + 4141557.

It is an arithmetic number, because the mean of its divisors is an integer number (1509981200).

Almost surely, 2^52777251288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52777251288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72479097600).

52777251288 is an abundant number, since it is smaller than the sum of its proper divisors (92180943912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52777251288 is a wasteful number, since it uses less digits than its factorization.

52777251288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13581 (or 13574 counting only the distinct ones).

The product of its digits is 4390400, while the sum is 54.

The spelling of 52777251288 in words is "fifty-two billion, seven hundred seventy-seven million, two hundred fifty-one thousand, two hundred eighty-eight".