635235130133352 has 320 divisors, whose sum is σ = 2048395357008000. Its totient is φ = 180159686866944.

The previous prime is 635235130133333. The next prime is 635235130133509. The reversal of 635235130133352 is 253331031532536.

635235130133352 is a `hidden beast` number, since 6 + 3 + 5 + 2 + 3 + 5 + 1 + 301 + 3 + 335 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 635235130133298 and 635235130133307.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19145681899 + ... + 19145715077.

It is an arithmetic number, because the mean of its divisors is an integer number (6401235490650).

Almost surely, 2^{635235130133352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 635235130133352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024197678504000).

635235130133352 is an abundant number, since it is smaller than the sum of its proper divisors (1413160226874648).

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

635235130133352 is a wasteful number, since it uses less digits than its factorization.

635235130133352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64150 (or 64137 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 45.

Adding to 635235130133352 its reverse (253331031532536), we get a palindrome (888566161665888).

The spelling of 635235130133352 in words is "six hundred thirty-five trillion, two hundred thirty-five billion, one hundred thirty million, one hundred thirty-three thousand, three hundred fifty-two".