42525000 has 288 divisors, whose sum is σ = 170614080. Its totient is φ = 9720000.

The previous prime is 42524981. The next prime is 42525013. The reversal of 42525000 is 52524.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6074997 + ... + 6075003.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 2^42525000 is an apocalyptic number.

42525000 is a gapful number since it is divisible by the number (40) 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 42525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

42525000 is an abundant number, since it is smaller than the sum of its proper divisors (128089080).

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

42525000 is an frugal number, since it uses more digits than its factorization.

42525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 42525000 is about 6521.1195357852. The cubic root of 42525000 is about 349.0450157176.

Adding to 42525000 its reverse (52524), we get a palindrome (42577524).

It can be divided in two parts, 425 and 25000, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 42525000 in words is "forty-two million, five hundred twenty-five thousand".