352605506253 has 192 divisors, whose sum is σ = 645131698176. Its totient is φ = 166681152000.

The previous prime is 352605506251. The next prime is 352605506287.

352605506253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352605506253 - 2¹ = 352605506251 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352605506251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1112320051 + ... + 1112320367.

It is an arithmetic number, because the mean of its divisors is an integer number (3360060928).

Almost surely, 2^352605506253 is an apocalyptic number.

352605506253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

352605506253 is a deficient number, since it is larger than the sum of its proper divisors (292526191923).

352605506253 is a wasteful number, since it uses less digits than its factorization.

352605506253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

It can be divided in two parts, 352605 and 506253, that added together give a palindrome (858858).

The spelling of 352605506253 in words is "three hundred fifty-two billion, six hundred five million, five hundred six thousand, two hundred fifty-three".