252279949522329 has 27 divisors (see below), whose sum is σ = 374521938549213. Its totient is φ = 163639904739552.

The previous prime is 252279949522301. The next prime is 252279949522343. The reversal of 252279949522329 is 923225949972252.

The square root of 252279949522329 is 15883323.

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

252279949522329 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 7 + 9 + 94 + 9 + 522 + 3 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1891100779929 + 250388848742400 = 1375173^2 + 15823680^2 .

It is not a de Polignac number, because 252279949522329 - 2¹³ = 252279949514137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252279949522399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1762977307 + ... + 1763120399.

Almost surely, 2^{252279949522329} is an apocalyptic number.

252279949522329 is the 15883323-rd square number.

252279949522329 is the 7941662-nd centered octagonal number.

It is an amenable number.

252279949522329 is a deficient number, since it is larger than the sum of its proper divisors (122241989026884).

252279949522329 is an frugal number, since it uses more digits than its factorization.

252279949522329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286266 (or 143133 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

The spelling of 252279949522329 in words is "two hundred fifty-two trillion, two hundred seventy-nine billion, nine hundred forty-nine million, five hundred twenty-two thousand, three hundred twenty-nine".