42129253 has 2 divisors, whose sum is σ = 42129254. Its totient is φ = 42129252.

The previous prime is 42129233. The next prime is 42129259. The reversal of 42129253 is 35292124.

42129253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38526849 + 3602404 = 6207^2 + 1898^2 .

It is a cyclic number.

It is not a de Polignac number, because 42129253 - 2⁹ = 42128741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42129259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21064626 + 21064627.

It is an arithmetic number, because the mean of its divisors is an integer number (21064627).

Almost surely, 2^42129253 is an apocalyptic number.

It is an amenable number.

42129253 is a deficient number, since it is larger than the sum of its proper divisors (1).

42129253 is an equidigital number, since it uses as much as digits as its factorization.

42129253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 28.

The square root of 42129253 is about 6490.7051234823. The cubic root of 42129253 is about 347.9588762124.

The spelling of 42129253 in words is "forty-two million, one hundred twenty-nine thousand, two hundred fifty-three".