252543436369 has 81 divisors (see below), whose sum is σ = 323005274001. Its totient is φ = 196833692160.

The previous prime is 252543436351. The next prime is 252543436373. The reversal of 252543436369 is 963634345252.

The square root of 252543436369 is 502537.

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 17791558225 + 234751878144 = 133385^2 + 484512^2 .

It is not a de Polignac number, because 252543436369 - 2⁷ = 252543436241 is a prime.

It is a super-2 number, since 2×252543436369² (a number of 24 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252543436169) 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, 2451877972 + ... + 2451878074.

Almost surely, 2^252543436369 is an apocalyptic number.

252543436369 is the 502537-th square number.

252543436369 is the 251269-th centered octagonal number.

It is an amenable number.

252543436369 is a deficient number, since it is larger than the sum of its proper divisors (70461837632).

252543436369 is an equidigital number, since it uses as much as digits as its factorization.

252543436369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 52.

The spelling of 252543436369 in words is "two hundred fifty-two billion, five hundred forty-three million, four hundred thirty-six thousand, three hundred sixty-nine".