42531300 has 216 divisors, whose sum is σ = 156892736. Its totient is φ = 9434880.

The previous prime is 42531289. The next prime is 42531311. The reversal of 42531300 is 313524.

42531300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42531289) and next prime (42531311).

It is a super-2 number, since 2×42531300² = 3617822959380000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270822 + ... + 270978.

Almost surely, 2^42531300 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 42531300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78446368).

42531300 is an abundant number, since it is smaller than the sum of its proper divisors (114361436).

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

42531300 is a wasteful number, since it uses less digits than its factorization.

42531300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 42531300 is about 6521.6025637875. The cubic root of 42531300 is about 349.0622516574.

Adding to 42531300 its reverse (313524), we get a palindrome (42844824).

The spelling of 42531300 in words is "forty-two million, five hundred thirty-one thousand, three hundred".