542185020 has 144 divisors (see below), whose sum is σ = 1779890112. Its totient is φ = 132802560.

The previous prime is 542184991. The next prime is 542185031. The reversal of 542185020 is 20581245.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 614980 + ... + 615860.

It is an arithmetic number, because the mean of its divisors is an integer number (12360348).

Almost surely, 2^542185020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542185020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889945056).

542185020 is an abundant number, since it is smaller than the sum of its proper divisors (1237705092).

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

542185020 is a wasteful number, since it uses less digits than its factorization.

542185020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 542185020 is about 23284.8667593353. The cubic root of 542185020 is about 815.4221507262.

It can be divided in two parts, 5 and 42185020, that added together give a square (42185025 = 6495²).

The spelling of 542185020 in words is "five hundred forty-two million, one hundred eighty-five thousand, twenty".