42121025 has 12 divisors (see below), whose sum is σ = 52381692. Its totient is φ = 33599040.

The previous prime is 42121007. The next prime is 42121067. The reversal of 42121025 is 52012124.

It can be written as a sum of positive squares in 6 ways, for example, as 9024016 + 33097009 = 3004^2 + 5753^2 .

It is not a de Polignac number, because 42121025 - 2⁸ = 42120769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42120994 and 42121012.

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 11 ways as a sum of consecutive naturals, for example, 7067 + ... + 11583.

It is an arithmetic number, because the mean of its divisors is an integer number (4365141).

Almost surely, 2^42121025 is an apocalyptic number.

It is an amenable number.

42121025 is a deficient number, since it is larger than the sum of its proper divisors (10260667).

42121025 is a wasteful number, since it uses less digits than its factorization.

42121025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 42121025 is about 6490.0712630910. The cubic root of 42121025 is about 347.9362221828.

Adding to 42121025 its reverse (52012124), we get a palindrome (94133149).

The spelling of 42121025 in words is "forty-two million, one hundred twenty-one thousand, twenty-five".