542521035130100 has 144 divisors (see below), whose sum is σ = 1270593389818368. Its totient is φ = 199878939740160.

The previous prime is 542521035130097. The next prime is 542521035130169. The reversal of 542521035130100 is 1031530125245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5459171612 + ... + 5459270988.

It is an arithmetic number, because the mean of its divisors is an integer number (8823565207072).

Almost surely, 2^{542521035130100} is an apocalyptic number.

542521035130100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542521035130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635296694909184).

542521035130100 is an abundant number, since it is smaller than the sum of its proper divisors (728072354688268).

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

542521035130100 is a wasteful number, since it uses less digits than its factorization.

542521035130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108514 (or 108507 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 542521035130100 its reverse (1031530125245), we get a palindrome (543552565255345).

The spelling of 542521035130100 in words is "five hundred forty-two trillion, five hundred twenty-one billion, thirty-five million, one hundred thirty thousand, one hundred".