42053013 has 20 divisors (see below), whose sum is σ = 63204108. Its totient is φ = 27864000.

The previous prime is 42052961. The next prime is 42053041. The reversal of 42053013 is 31035024.

It can be written as a sum of positive squares in 2 ways, for example, as 31438449 + 10614564 = 5607^2 + 3258^2 .

It is not a de Polignac number, because 42053013 - 2⁶ = 42052949 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42053093) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12513 + ... + 15513.

Almost surely, 2^42053013 is an apocalyptic number.

It is an amenable number.

42053013 is a deficient number, since it is larger than the sum of its proper divisors (21151095).

42053013 is a wasteful number, since it uses less digits than its factorization.

42053013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 42053013 is about 6484.8294503402. The cubic root of 42053013 is about 347.7488526819.

Adding to 42053013 its reverse (31035024), we get a palindrome (73088037).

The spelling of 42053013 in words is "forty-two million, fifty-three thousand, thirteen".