42801825 has 48 divisors (see below), whose sum is σ = 79905600. Its totient is φ = 20025600.

The previous prime is 42801821. The next prime is 42801833. The reversal of 42801825 is 52810824.

It is not a de Polignac number, because 42801825 - 2² = 42801821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42801792 and 42801801.

It is not an unprimeable number, because it can be changed into a prime (42801821) by changing a digit.

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, 23031 + ... + 24819.

It is an arithmetic number, because the mean of its divisors is an integer number (1664700).

Almost surely, 2^42801825 is an apocalyptic number.

It is an amenable number.

42801825 is a deficient number, since it is larger than the sum of its proper divisors (37103775).

42801825 is a wasteful number, since it uses less digits than its factorization.

42801825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 42801825 is about 6542.3103717265. The cubic root of 42801825 is about 349.8007709690.

It can be divided in two parts, 4280 and 1825, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 42801825 in words is "forty-two million, eight hundred one thousand, eight hundred twenty-five".