352552424255253 has 32 divisors (see below), whose sum is σ = 524349966385920. Its totient is φ = 234114196838400.

The previous prime is 352552424255219. The next prime is 352552424255327.

352552424255253 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 5 + 2 + 42 + 42 + 552 + 5 + 3 = 666.

352552424255253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352552424255253 - 2³⁰ = 352551350513429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 352552424255253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352552424255203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17639673 + ... + 31878878.

It is an arithmetic number, because the mean of its divisors is an integer number (16385936449560).

Almost surely, 2^{352552424255253} is an apocalyptic number.

It is an amenable number.

352552424255253 is a deficient number, since it is larger than the sum of its proper divisors (171797542130667).

352552424255253 is a wasteful number, since it uses less digits than its factorization.

352552424255253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49519594 (or 49519588 counting only the distinct ones).

The product of its digits is 72000000, while the sum is 54.

The spelling of 352552424255253 in words is "three hundred fifty-two trillion, five hundred fifty-two billion, four hundred twenty-four million, two hundred fifty-five thousand, two hundred fifty-three".