543504405345 has 24 divisors (see below), whose sum is σ = 955849073088. Its totient is φ = 263517286560.

The previous prime is 543504405313. The next prime is 543504405397.

543504405345 is nontrivially palindromic in base 10.

543504405345 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 543504405345 - 2⁵ = 543504405313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 543504405297 and 543504405306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149723917 + ... + 149727546.

It is an arithmetic number, because the mean of its divisors is an integer number (39827044712).

Almost surely, 2^543504405345 is an apocalyptic number.

543504405345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

543504405345 is a deficient number, since it is larger than the sum of its proper divisors (412344667743).

543504405345 is a wasteful number, since it uses less digits than its factorization.

543504405345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299451493 (or 299451482 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

It can be divided in two parts, 543504 and 405345, that added together give a palindrome (948849).

The spelling of 543504405345 in words is "five hundred forty-three billion, five hundred four million, four hundred five thousand, three hundred forty-five".