42006562013 has 32 divisors (see below), whose sum is σ = 47526864000. Its totient is φ = 36865704960.

The previous prime is 42006562009. The next prime is 42006562021. The reversal of 42006562013 is 31026560024.

It is a cyclic number.

It is not a de Polignac number, because 42006562013 - 2² = 42006562009 is a prime.

It is a super-2 number, since 2×42006562013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42006562613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11434745 + ... + 11438417.

It is an arithmetic number, because the mean of its divisors is an integer number (1485214500).

Almost surely, 2^42006562013 is an apocalyptic number.

42006562013 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

42006562013 is a deficient number, since it is larger than the sum of its proper divisors (5520301987).

42006562013 is a wasteful number, since it uses less digits than its factorization.

42006562013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269.

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 42006562013 in words is "forty-two billion, six million, five hundred sixty-two thousand, thirteen".