352506444605253 has 16 divisors (see below), whose sum is σ = 522234496674240. Its totient is φ = 235003069303632.

The previous prime is 352506444605221. The next prime is 352506444605257.

352506444605253 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 0 + 6 + 4 + 4 + 4 + 605 + 25 + 3 = 666.

352506444605253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352506444605253 - 2⁵ = 352506444605221 is a prime.

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 352506444605253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352506444605257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28804651 + ... + 39175512.

It is an arithmetic number, because the mean of its divisors is an integer number (32639656042140).

Almost surely, 2^{352506444605253} is an apocalyptic number.

It is an amenable number.

352506444605253 is a deficient number, since it is larger than the sum of its proper divisors (169728052068987).

352506444605253 is a wasteful number, since it uses less digits than its factorization.

352506444605253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68172225 (or 68172219 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 352506444605253 in words is "three hundred fifty-two trillion, five hundred six billion, four hundred forty-four million, six hundred five thousand, two hundred fifty-three".