542331513000 has 384 divisors, whose sum is σ = 1915303553280. Its totient is φ = 138151411200.

The previous prime is 542331512993. The next prime is 542331513007. The reversal of 542331513000 is 315133245.

542331513000 is a `hidden beast` number, since 5 + 42 + 3 + 315 + 1 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (542331512993) and next prime (542331513007).

It is not an unprimeable number, because it can be changed into a prime (542331513007) 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 95 ways as a sum of consecutive naturals, for example, 232459834 + ... + 232462166.

It is an arithmetic number, because the mean of its divisors is an integer number (4987769670).

Almost surely, 2^542331513000 is an apocalyptic number.

542331513000 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 542331513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957651776640).

542331513000 is an abundant number, since it is smaller than the sum of its proper divisors (1372972040280).

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

542331513000 is a wasteful number, since it uses less digits than its factorization.

542331513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 542331513000 its reverse (315133245), we get a palindrome (542646646245).

The spelling of 542331513000 in words is "five hundred forty-two billion, three hundred thirty-one million, five hundred thirteen thousand".