42013035 has 24 divisors (see below), whose sum is σ = 77107680. Its totient is φ = 21088512.

The previous prime is 42013031. The next prime is 42013039. The reversal of 42013035 is 53031024.

It is an interprime number because it is at equal distance from previous prime (42013031) and next prime (42013039).

It is not a de Polignac number, because 42013035 - 2² = 42013031 is a prime.

It is a super-2 number, since 2×42013035² = 3530190219822450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42012999 and 42013017.

It is not an unprimeable number, because it can be changed into a prime (42013031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26695 + ... + 28224.

It is an arithmetic number, because the mean of its divisors is an integer number (3212820).

Almost surely, 2^42013035 is an apocalyptic number.

42013035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42013035 is a deficient number, since it is larger than the sum of its proper divisors (35094645).

42013035 is a wasteful number, since it uses less digits than its factorization.

42013035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54947 (or 54944 counting only the distinct ones).

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

The square root of 42013035 is about 6481.7462924740. The cubic root of 42013035 is about 347.6386210924.

Adding to 42013035 its reverse (53031024), we get a palindrome (95044059).

The spelling of 42013035 in words is "forty-two million, thirteen thousand, thirty-five".