52584451969 has 81 divisors (see below), whose sum is σ = 68050303689. Its totient is φ = 40505848320.

The previous prime is 52584451943. The next prime is 52584451973. The reversal of 52584451969 is 96915448525.

The square root of 52584451969 is 229313.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3704548225 + 48879903744 = 60865^2 + 221088^2 .

It is not a de Polignac number, because 52584451969 - 2¹³ = 52584443777 is a prime.

It is a super-2 number, since 2×52584451969² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52584451939) 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 80 ways as a sum of consecutive naturals, for example, 1118818104 + ... + 1118818150.

Almost surely, 2^52584451969 is an apocalyptic number.

52584451969 is the 229313-rd square number.

52584451969 is the 114657-th centered octagonal number.

It is an amenable number.

52584451969 is a deficient number, since it is larger than the sum of its proper divisors (15465851720).

52584451969 is an equidigital number, since it uses as much as digits as its factorization.

52584451969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 58.

The spelling of 52584451969 in words is "fifty-two billion, five hundred eighty-four million, four hundred fifty-one thousand, nine hundred sixty-nine".