542682500 has 90 divisors (see below), whose sum is σ = 1267764498. Its totient is φ = 202496000.

The previous prime is 542682479. The next prime is 542682527. The reversal of 542682500 is 5286245.

It can be written as a sum of positive squares in 15 ways, for example, as 462078016 + 80604484 = 21496^2 + 8978^2 .

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 4802444 + ... + 4802556.

Almost surely, 2^542682500 is an apocalyptic number.

542682500 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 542682500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633882249).

542682500 is an abundant number, since it is smaller than the sum of its proper divisors (725081998).

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

542682500 is a wasteful number, since it uses less digits than its factorization.

542682500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 542682500 is about 23295.5467847398. The cubic root of 542682500 is about 815.6714704174.

The spelling of 542682500 in words is "five hundred forty-two million, six hundred eighty-two thousand, five hundred".