252344305305 has 192 divisors, whose sum is σ = 496576604160. Its totient is φ = 117867644928.

The previous prime is 252344305223. The next prime is 252344305349. The reversal of 252344305305 is 503503443252.

252344305305 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 44 + 305 + 305 = 666.

It is not a de Polignac number, because 252344305305 - 2¹³ = 252344297113 is a prime.

It is a super-2 number, since 2×252344305305² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 252344305305.

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 191 ways as a sum of consecutive naturals, for example, 97844506 + ... + 97847084.

It is an arithmetic number, because the mean of its divisors is an integer number (2586336480).

Almost surely, 2^252344305305 is an apocalyptic number.

It is an amenable number.

252344305305 is a deficient number, since it is larger than the sum of its proper divisors (244232298855).

252344305305 is a wasteful number, since it uses less digits than its factorization.

252344305305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 252344305305 its reverse (503503443252), we get a palindrome (755847748557).

The spelling of 252344305305 in words is "two hundred fifty-two billion, three hundred forty-four million, three hundred five thousand, three hundred five".