42540761 has 2 divisors, whose sum is σ = 42540762. Its totient is φ = 42540760.

The previous prime is 42540733. The next prime is 42540763. The reversal of 42540761 is 16704524.

42540761 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., 38987536 + 3553225 = 6244^2 + 1885^2 .

It is a cyclic number.

It is not a de Polignac number, because 42540761 - 2⁶ = 42540697 is a prime.

Together with 42540763, 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 (42540763) 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, 21270380 + 21270381.

It is an arithmetic number, because the mean of its divisors is an integer number (21270381).

Almost surely, 2^42540761 is an apocalyptic number.

It is an amenable number.

42540761 is a deficient number, since it is larger than the sum of its proper divisors (1).

42540761 is an equidigital number, since it uses as much as digits as its factorization.

42540761 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 square root of 42540761 is about 6522.3278819759. The cubic root of 42540761 is about 349.0881324645.

The spelling of 42540761 in words is "forty-two million, five hundred forty thousand, seven hundred sixty-one".