42100613 has 2 divisors, whose sum is σ = 42100614. Its totient is φ = 42100612.

The previous prime is 42100607. The next prime is 42100631. The reversal of 42100613 is 31600124.

Together with next prime (42100631) 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., 24275329 + 17825284 = 4927^2 + 4222^2 .

It is a cyclic number.

It is not a de Polignac number, because 42100613 - 2⁶ = 42100549 is a prime.

It is a super-2 number, since 2×42100613² = 3544923229951538, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42100591 and 42100600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42100693) 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, 21050306 + 21050307.

It is an arithmetic number, because the mean of its divisors is an integer number (21050307).

Almost surely, 2^42100613 is an apocalyptic number.

It is an amenable number.

42100613 is a deficient number, since it is larger than the sum of its proper divisors (1).

42100613 is an equidigital number, since it uses as much as digits as its factorization.

42100613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 42100613 is about 6488.4985166061. The cubic root of 42100613 is about 347.8800093872.

Adding to 42100613 its reverse (31600124), we get a palindrome (73700737).

The spelling of 42100613 in words is "forty-two million, one hundred thousand, six hundred thirteen".