542540500 has 48 divisors (see below), whose sum is σ = 1190249424. Its totient is φ = 216038400.

The previous prime is 542540483. The next prime is 542540507. The reversal of 542540500 is 5045245.

It can be written as a sum of positive squares in 8 ways, for example, as 374267716 + 168272784 = 19346^2 + 12972^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542540507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114172 + ... + 118828.

It is an arithmetic number, because the mean of its divisors is an integer number (24796863).

Almost surely, 2^542540500 is an apocalyptic number.

542540500 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 542540500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595124712).

542540500 is an abundant number, since it is smaller than the sum of its proper divisors (647708924).

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

542540500 is a wasteful number, since it uses less digits than its factorization.

542540500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 542540500 is about 23292.4987925298. The cubic root of 542540500 is about 815.6003204953.

Adding to 542540500 its reverse (5045245), we get a palindrome (547585745).

The spelling of 542540500 in words is "five hundred forty-two million, five hundred forty thousand, five hundred".