42525300 has 72 divisors (see below), whose sum is σ = 123776800. Its totient is φ = 11272320.

The previous prime is 42525289. The next prime is 42525311. The reversal of 42525300 is 352524.

It is an interprime number because it is at equal distance from previous prime (42525289) and next prime (42525311).

It is a super-2 number, since 2×42525300² = 3616802280180000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 68391 + ... + 69009.

Almost surely, 2^42525300 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 42525300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61888400).

42525300 is an abundant number, since it is smaller than the sum of its proper divisors (81251500).

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

42525300 is a wasteful number, since it uses less digits than its factorization.

42525300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 42525300 is about 6521.1425379300. The cubic root of 42525300 is about 349.0458365152.

Adding to 42525300 its reverse (352524), we get a palindrome (42877824).

The spelling of 42525300 in words is "forty-two million, five hundred twenty-five thousand, three hundred".