352503305253 has 48 divisors (see below), whose sum is σ = 575778078720. Its totient is φ = 205881328800.

The previous prime is 352503305243. The next prime is 352503305263.

352503305253 is a `hidden beast` number, since 3 + 52 + 50 + 3 + 30 + 525 + 3 = 666.

352503305253 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (352503305243) and next prime (352503305263).

It is not a de Polignac number, because 352503305253 - 2⁴ = 352503305237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352503305233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493200 + ... + 973782.

It is an arithmetic number, because the mean of its divisors is an integer number (11995376640).

Almost surely, 2^352503305253 is an apocalyptic number.

352503305253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

352503305253 is a deficient number, since it is larger than the sum of its proper divisors (223274773467).

352503305253 is a wasteful number, since it uses less digits than its factorization.

352503305253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480870 (or 480867 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 36.

It can be divided in two parts, 352503 and 305253, that added together give a palindrome (657756).

The spelling of 352503305253 in words is "three hundred fifty-two billion, five hundred three million, three hundred five thousand, two hundred fifty-three".