252335322050 has 144 divisors (see below), whose sum is σ = 559997173512. Its totient is φ = 84297830400.

The previous prime is 252335322023. The next prime is 252335322067. The reversal of 252335322050 is 50223533252.

252335322050 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6375862801 + 245959459249 = 79849^2 + 495943^2 .

It is a super-2 number, since 2×252335322050² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252335321998 and 252335322016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143943974 + ... + 143945726.

Almost surely, 2^252335322050 is an apocalyptic number.

252335322050 is an abundant number, since it is smaller than the sum of its proper divisors (307661851462).

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

252335322050 is a wasteful number, since it uses less digits than its factorization.

252335322050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The spelling of 252335322050 in words is "two hundred fifty-two billion, three hundred thirty-five million, three hundred twenty-two thousand, fifty".