352314464413253 has 8 divisors (see below), whose sum is σ = 355946969726040. Its totient is φ = 348681967211520.

The previous prime is 352314464413243. The next prime is 352314464413271.

352314464413253 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 91153285940929 + 261161178472324 = 9547423^2 + 16160482^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 352314464413253 - 2⁶ = 352314464413189 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 (352314464413243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128158283 + ... + 130878471.

It is an arithmetic number, because the mean of its divisors is an integer number (44493371215755).

Almost surely, 2^{352314464413253} is an apocalyptic number.

It is an amenable number.

352314464413253 is a deficient number, since it is larger than the sum of its proper divisors (3632505312787).

352314464413253 is a wasteful number, since it uses less digits than its factorization.

352314464413253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055527.

The product of its digits is 12441600, while the sum is 50.

The spelling of 352314464413253 in words is "three hundred fifty-two trillion, three hundred fourteen billion, four hundred sixty-four million, four hundred thirteen thousand, two hundred fifty-three".