42553121 has 16 divisors (see below), whose sum is σ = 48580560. Its totient is φ = 36986880.

The previous prime is 42553109. The next prime is 42553127. The reversal of 42553121 is 12135524.

It can be written as a sum of positive squares in 8 ways, for example, as 1784896 + 40768225 = 1336^2 + 6385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42553121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42553127) 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 15 ways as a sum of consecutive naturals, for example, 14081 + ... + 16833.

It is an arithmetic number, because the mean of its divisors is an integer number (3036285).

Almost surely, 2^42553121 is an apocalyptic number.

42553121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42553121 is a deficient number, since it is larger than the sum of its proper divisors (6027439).

42553121 is a wasteful number, since it uses less digits than its factorization.

42553121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836.

The product of its digits is 1200, while the sum is 23.

The square root of 42553121 is about 6523.2753276249. The cubic root of 42553121 is about 349.1219377797.

Adding to 42553121 its reverse (12135524), we get a palindrome (54688645).

The spelling of 42553121 in words is "forty-two million, five hundred fifty-three thousand, one hundred twenty-one".