352473585374253 has 64 divisors (see below), whose sum is σ = 570983535175680. Its totient is φ = 188918689824000.

The previous prime is 352473585374143. The next prime is 352473585374263.

It is a happy number.

352473585374253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352473585374253 - 2⁸ = 352473585373997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352473585374263) 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, 2026590051 + ... + 2026763967.

It is an arithmetic number, because the mean of its divisors is an integer number (8921617737120).

Almost surely, 2^{352473585374253} is an apocalyptic number.

It is an amenable number.

352473585374253 is a deficient number, since it is larger than the sum of its proper divisors (218509949801427).

352473585374253 is a wasteful number, since it uses less digits than its factorization.

352473585374253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224338.

The product of its digits is 1270080000, while the sum is 66.

The spelling of 352473585374253 in words is "three hundred fifty-two trillion, four hundred seventy-three billion, five hundred eighty-five million, three hundred seventy-four thousand, two hundred fifty-three".