42100072565 has 16 divisors (see below), whose sum is σ = 51814475328. Its totient is φ = 32820754176.

The previous prime is 42100072559. The next prime is 42100072583. The reversal of 42100072565 is 56527000124.

It is a cyclic number.

It is not a de Polignac number, because 42100072565 - 2¹² = 42100068469 is a prime.

It is a super-2 number, since 2×42100072565² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133019 + ... + 319208.

It is an arithmetic number, because the mean of its divisors is an integer number (3238404708).

Almost surely, 2^42100072565 is an apocalyptic number.

It is an amenable number.

42100072565 is a deficient number, since it is larger than the sum of its proper divisors (9714402763).

42100072565 is a wasteful number, since it uses less digits than its factorization.

42100072565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452708.

The product of its (nonzero) digits is 16800, while the sum is 32.

Adding to 42100072565 its reverse (56527000124), we get a palindrome (98627072689).

The spelling of 42100072565 in words is "forty-two billion, one hundred million, seventy-two thousand, five hundred sixty-five".