42105253 has 2 divisors, whose sum is σ = 42105254. Its totient is φ = 42105252.

The previous prime is 42105251. The next prime is 42105263. The reversal of 42105253 is 35250124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37234404 + 4870849 = 6102^2 + 2207^2 .

It is a cyclic number.

It is not a de Polignac number, because 42105253 - 2¹ = 42105251 is a prime.

Together with 42105251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42105251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21052626 + 21052627.

It is an arithmetic number, because the mean of its divisors is an integer number (21052627).

Almost surely, 2^42105253 is an apocalyptic number.

It is an amenable number.

42105253 is a deficient number, since it is larger than the sum of its proper divisors (1).

42105253 is an equidigital number, since it uses as much as digits as its factorization.

42105253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 42105253 is about 6488.8560625121. The cubic root of 42105253 is about 347.8927891215.

Adding to 42105253 its reverse (35250124), we get a palindrome (77355377).

The spelling of 42105253 in words is "forty-two million, one hundred five thousand, two hundred fifty-three".