352203302253 has 192 divisors, whose sum is σ = 594651214080. Its totient is φ = 184192081920.

The previous prime is 352203302203. The next prime is 352203302281.

352203302253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352203302253 - 2¹⁷ = 352203171181 is a prime.

It is a super-2 number, since 2×352203302253² (a number of 24 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 352203302253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352203302203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 284723151 + ... + 284724387.

It is an arithmetic number, because the mean of its divisors is an integer number (3097141740).

Almost surely, 2^352203302253 is an apocalyptic number.

352203302253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

352203302253 is a deficient number, since it is larger than the sum of its proper divisors (242447911827).

352203302253 is a wasteful number, since it uses less digits than its factorization.

352203302253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

It can be divided in two parts, 352203 and 302253, that added together give a palindrome (654456).

The spelling of 352203302253 in words is "three hundred fifty-two billion, two hundred three million, three hundred two thousand, two hundred fifty-three".