352481323184253 has 16 divisors (see below), whose sum is σ = 523384062115200. Its totient is φ = 234452269627200.

The previous prime is 352481323184201. The next prime is 352481323184257.

352481323184253 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 81 + 3 + 231 + 84 + 253 = 666.

352481323184253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352481323184253 - 2⁶ = 352481323184189 is a prime.

It is a super-2 number, since 2×352481323184253² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 352481323184253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352481323184257) 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, 14868853548 + ... + 14868877253.

It is an arithmetic number, because the mean of its divisors is an integer number (32711503882200).

Almost surely, 2^{352481323184253} is an apocalyptic number.

It is an amenable number.

352481323184253 is a deficient number, since it is larger than the sum of its proper divisors (170902738930947).

352481323184253 is a wasteful number, since it uses less digits than its factorization.

352481323184253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29737731249 (or 29737731243 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 352481323184253 in words is "three hundred fifty-two trillion, four hundred eighty-one billion, three hundred twenty-three million, one hundred eighty-four thousand, two hundred fifty-three".