42113253 has 64 divisors (see below), whose sum is σ = 76124160. Its totient is φ = 20072448.

The previous prime is 42113237. The next prime is 42113261. The reversal of 42113253 is 35231124.

42113253 is a nontrivial binomial coefficient, being equal to C(9178, 2).

It is not a de Polignac number, because 42113253 - 2⁴ = 42113237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42113293) 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 63 ways as a sum of consecutive naturals, for example, 119125 + ... + 119477.

It is an arithmetic number, because the mean of its divisors is an integer number (1189440).

Almost surely, 2^42113253 is an apocalyptic number.

42113253 is the 9177-th triangular number and also the 4589-th hexagonal number.

It is an amenable number.

42113253 is a deficient number, since it is larger than the sum of its proper divisors (34010907).

42113253 is a wasteful number, since it uses less digits than its factorization.

42113253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418.

The product of its digits is 720, while the sum is 21.

The square root of 42113253 is about 6489.4724747086. The cubic root of 42113253 is about 347.9148209415.

Adding to 42113253 its reverse (35231124), we get a palindrome (77344377).

The spelling of 42113253 in words is "forty-two million, one hundred thirteen thousand, two hundred fifty-three".