42621013 has 2 divisors, whose sum is σ = 42621014. Its totient is φ = 42621012.

The previous prime is 42620999. The next prime is 42621031. The reversal of 42621013 is 31012624.

Together with next prime (42621031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32012964 + 10608049 = 5658^2 + 3257^2 .

It is a cyclic number.

It is not a de Polignac number, because 42621013 - 2²⁵ = 9066581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42621043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21310506 + 21310507.

It is an arithmetic number, because the mean of its divisors is an integer number (21310507).

Almost surely, 2^42621013 is an apocalyptic number.

It is an amenable number.

42621013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42621013 is an equidigital number, since it uses as much as digits as its factorization.

42621013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 42621013 is about 6528.4770812189. The cubic root of 42621013 is about 349.3075096928.

Adding to 42621013 its reverse (31012624), we get a palindrome (73633637).

It can be divided in two parts, 42 and 621013, that added together give a triangular number (621055 = T₁₁₁₄).

The spelling of 42621013 in words is "forty-two million, six hundred twenty-one thousand, thirteen".