542353016205 has 576 divisors, whose sum is σ = 1329468940800. Its totient is φ = 198358917120.

The previous prime is 542353016131. The next prime is 542353016207. The reversal of 542353016205 is 502610353245.

542353016205 is a `hidden beast` number, since 5 + 4 + 23 + 5 + 3 + 0 + 1 + 620 + 5 = 666.

It is not a de Polignac number, because 542353016205 - 2⁹ = 542353015693 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 542353016205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542353016207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1851034039 + ... + 1851034331.

It is an arithmetic number, because the mean of its divisors is an integer number (2308105800).

Almost surely, 2^542353016205 is an apocalyptic number.

542353016205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542353016205 is an abundant number, since it is smaller than the sum of its proper divisors (787115924595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542353016205 is a wasteful number, since it uses less digits than its factorization.

542353016205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 542353016205 in words is "five hundred forty-two billion, three hundred fifty-three million, sixteen thousand, two hundred five".