54351533515345 has 32 divisors (see below), whose sum is σ = 72495259666560. Its totient is φ = 38781666493440.

The previous prime is 54351533515303. The next prime is 54351533515361.

54351533515345 is nontrivially palindromic in base 10.

54351533515345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54351533515345 - 2²⁵ = 54351499960913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54351533515292 and 54351533515301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140709486 + ... + 141095224.

It is an arithmetic number, because the mean of its divisors is an integer number (2265476864580).

Almost surely, 2^{54351533515345} is an apocalyptic number.

54351533515345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54351533515345 is a deficient number, since it is larger than the sum of its proper divisors (18143726151215).

54351533515345 is a wasteful number, since it uses less digits than its factorization.

54351533515345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434145.

The product of its digits is 20250000, while the sum is 52.

The spelling of 54351533515345 in words is "fifty-four trillion, three hundred fifty-one billion, five hundred thirty-three million, five hundred fifteen thousand, three hundred forty-five".