252353136321 has 96 divisors (see below), whose sum is σ = 435764609280. Its totient is φ = 138699993600.

The previous prime is 252353136311. The next prime is 252353136383. The reversal of 252353136321 is 123631353252.

252353136321 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 5 + 3 + 13 + 632 + 1 = 666.

It is not a de Polignac number, because 252353136321 - 2¹⁷ = 252353005249 is a prime.

It is a super-2 number, since 2×252353136321² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252353136311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103549515 + ... + 103551951.

It is an arithmetic number, because the mean of its divisors is an integer number (4539214680).

Almost surely, 2^252353136321 is an apocalyptic number.

It is an amenable number.

252353136321 is a deficient number, since it is larger than the sum of its proper divisors (183411472959).

252353136321 is a wasteful number, since it uses less digits than its factorization.

252353136321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3844 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 252353136321 its reverse (123631353252), we get a palindrome (375984489573).

The spelling of 252353136321 in words is "two hundred fifty-two billion, three hundred fifty-three million, one hundred thirty-six thousand, three hundred twenty-one".