40517261009 has 2 divisors, whose sum is σ = 40517261010. Its totient is φ = 40517261008.

The previous prime is 40517260991. The next prime is 40517261011. The reversal of 40517261009 is 90016271504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28615105600 + 11902155409 = 169160^2 + 109097^2 .

It is a cyclic number.

It is not a de Polignac number, because 40517261009 - 2⁸ = 40517260753 is a prime.

Together with 40517261011, 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 40517261009.

It is not a weakly prime, because it can be changed into another prime (40517261089) 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, 20258630504 + 20258630505.

It is an arithmetic number, because the mean of its divisors is an integer number (20258630505).

Almost surely, 2^40517261009 is an apocalyptic number.

It is an amenable number.

40517261009 is a deficient number, since it is larger than the sum of its proper divisors (1).

40517261009 is an equidigital number, since it uses as much as digits as its factorization.

40517261009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 40517261009 in words is "forty billion, five hundred seventeen million, two hundred sixty-one thousand, nine".