42002505 has 12 divisors (see below), whose sum is σ = 72804420. Its totient is φ = 22401312.

The previous prime is 42002459. The next prime is 42002507. The reversal of 42002505 is 50520024.

It can be written as a sum of positive squares in 2 ways, for example, as 28869129 + 13133376 = 5373^2 + 3624^2 .

It is not a de Polignac number, because 42002505 - 2⁷ = 42002377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42002507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466650 + ... + 466739.

It is an arithmetic number, because the mean of its divisors is an integer number (6067035).

Almost surely, 2^42002505 is an apocalyptic number.

42002505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42002505 is a deficient number, since it is larger than the sum of its proper divisors (30801915).

42002505 is a wasteful number, since it uses less digits than its factorization.

42002505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933400 (or 933397 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 42002505 is about 6480.9339604721. The cubic root of 42002505 is about 347.6095750233.

Adding to 42002505 its reverse (50520024), we get a palindrome (92522529).

The spelling of 42002505 in words is "forty-two million, two thousand, five hundred five".