42424008257 has 2 divisors, whose sum is σ = 42424008258. Its totient is φ = 42424008256.

The previous prime is 42424008223. The next prime is 42424008259. The reversal of 42424008257 is 75280042424.

42424008257 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., 40988431936 + 1435576321 = 202456^2 + 37889^2 .

It is a cyclic number.

It is not a de Polignac number, because 42424008257 - 2¹⁴ = 42423991873 is a prime.

It is a super-3 number, since 3×42424008257³ (a number of 33 digits) contains 333 as substring.

Together with 42424008259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42424008257.

It is not a weakly prime, because it can be changed into another prime (42424008259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21212004128 + 21212004129.

It is an arithmetic number, because the mean of its divisors is an integer number (21212004129).

Almost surely, 2^42424008257 is an apocalyptic number.

It is an amenable number.

42424008257 is a deficient number, since it is larger than the sum of its proper divisors (1).

42424008257 is an equidigital number, since it uses as much as digits as its factorization.

42424008257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 143360, while the sum is 38.

The spelling of 42424008257 in words is "forty-two billion, four hundred twenty-four million, eight thousand, two hundred fifty-seven".