543121303121345 has 16 divisors (see below), whose sum is σ = 702598241071440. Its totient is φ = 400663676964864.

The previous prime is 543121303121317. The next prime is 543121303121393.

It is a happy number.

543121303121345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 55867597138369 + 487253705982976 = 7474463^2 + 22073824^2 .

It is a cyclic number.

It is not a de Polignac number, because 543121303121345 - 2¹⁰ = 543121303120321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 543121303121299 and 543121303121308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4276145480 + ... + 4276272489.

It is an arithmetic number, because the mean of its divisors is an integer number (43912390066965).

Almost surely, 2^{543121303121345} is an apocalyptic number.

It is an amenable number.

543121303121345 is a deficient number, since it is larger than the sum of its proper divisors (159476937950095).

543121303121345 is a wasteful number, since it uses less digits than its factorization.

543121303121345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552418964.

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 54312130 and 3121345, that added together give a palindrome (57433475).

The spelling of 543121303121345 in words is "five hundred forty-three trillion, one hundred twenty-one billion, three hundred three million, one hundred twenty-one thousand, three hundred forty-five".