352501105253 has 64 divisors (see below), whose sum is σ = 420476313600. Its totient is φ = 292269120000.

The previous prime is 352501105241. The next prime is 352501105267.

352501105253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352501105253 - 2¹² = 352501101157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352501105213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82764038 + ... + 82768296.

It is an arithmetic number, because the mean of its divisors is an integer number (6569942400).

Almost surely, 2^352501105253 is an apocalyptic number.

It is an amenable number.

352501105253 is a deficient number, since it is larger than the sum of its proper divisors (67975208347).

352501105253 is a wasteful number, since it uses less digits than its factorization.

352501105253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514.

The product of its (nonzero) digits is 22500, while the sum is 32.

It can be divided in two parts, 352501 and 105253, that added together give a palindrome (457754).

The spelling of 352501105253 in words is "three hundred fifty-two billion, five hundred one million, one hundred five thousand, two hundred fifty-three".