16582542350353 has 32 divisors (see below), whose sum is σ = 19208076894720. Its totient is φ = 14022127503360.

The previous prime is 16582542350303. The next prime is 16582542350369. The reversal of 16582542350353 is 35305324528561.

It is a cyclic number.

It is not a de Polignac number, because 16582542350353 - 2¹³ = 16582542342161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16582542350353.

It is not an unprimeable number, because it can be changed into a prime (16582542350303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656435743 + ... + 656461003.

It is an arithmetic number, because the mean of its divisors is an integer number (600252402960).

Almost surely, 2^{16582542350353} is an apocalyptic number.

It is an amenable number.

16582542350353 is a deficient number, since it is larger than the sum of its proper divisors (2625534544367).

16582542350353 is a wasteful number, since it uses less digits than its factorization.

16582542350353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28417.

The product of its (nonzero) digits is 12960000, while the sum is 52.

The spelling of 16582542350353 in words is "sixteen trillion, five hundred eighty-two billion, five hundred forty-two million, three hundred fifty thousand, three hundred fifty-three".