42009664577 has 2 divisors, whose sum is σ = 42009664578. Its totient is φ = 42009664576.

The previous prime is 42009664553. The next prime is 42009664579. The reversal of 42009664577 is 77546690024.

42009664577 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., 41789171776 + 220492801 = 204424^2 + 14849^2 .

It is a cyclic number.

It is not a de Polignac number, because 42009664577 - 2²⁴ = 41992887361 is a prime.

Together with 42009664579, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42009664579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21004832288 + 21004832289.

It is an arithmetic number, because the mean of its divisors is an integer number (21004832289).

Almost surely, 2^42009664577 is an apocalyptic number.

It is an amenable number.

42009664577 is a deficient number, since it is larger than the sum of its proper divisors (1).

42009664577 is an equidigital number, since it uses as much as digits as its factorization.

42009664577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 42009664577 in words is "forty-two billion, nine million, six hundred sixty-four thousand, five hundred seventy-seven".