42121653 has 32 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 22999680.

The previous prime is 42121643. The next prime is 42121661. The reversal of 42121653 is 35612124.

42121653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42121653 - 2⁵ = 42121621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121603) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 57576 + ... + 58302.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2^42121653 is an apocalyptic number.

It is an amenable number.

42121653 is a deficient number, since it is larger than the sum of its proper divisors (24970827).

42121653 is a wasteful number, since it uses less digits than its factorization.

42121653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857.

The product of its digits is 1440, while the sum is 24.

The square root of 42121653 is about 6490.1196445058. The cubic root of 42121653 is about 347.9379513498.

Adding to 42121653 its reverse (35612124), we get a palindrome (77733777).

The spelling of 42121653 in words is "forty-two million, one hundred twenty-one thousand, six hundred fifty-three".