426410000057 has 2 divisors, whose sum is σ = 426410000058. Its totient is φ = 426410000056.

The previous prime is 426409999993. The next prime is 426410000059. The reversal of 426410000057 is 750000014624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270877570681 + 155532429376 = 520459^2 + 394376^2 .

It is a cyclic number.

It is not a de Polignac number, because 426410000057 - 2⁶ = 426409999993 is a prime.

It is a super-2 number, since 2×426410000057² (a number of 24 digits) contains 22 as substring.

Together with 426410000059, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 426409999984 and 426410000029.

It is not a weakly prime, because it can be changed into another prime (426410000059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213205000028 + 213205000029.

It is an arithmetic number, because the mean of its divisors is an integer number (213205000029).

Almost surely, 2^426410000057 is an apocalyptic number.

It is an amenable number.

426410000057 is a deficient number, since it is larger than the sum of its proper divisors (1).

426410000057 is an equidigital number, since it uses as much as digits as its factorization.

426410000057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 426410000057 in words is "four hundred twenty-six billion, four hundred ten million, fifty-seven", and thus it is an aban number.