135516629427409 has 2 divisors, whose sum is σ = 135516629427410. Its totient is φ = 135516629427408.

The previous prime is 135516629427373. The next prime is 135516629427433. The reversal of 135516629427409 is 904724926615531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68338279289809 + 67178350137600 = 8266697^2 + 8196240^2 .

It is a cyclic number.

It is not a de Polignac number, because 135516629427409 - 2⁴¹ = 133317606171857 is a prime.

It is not a weakly prime, because it can be changed into another prime (135516629428409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67758314713704 + 67758314713705.

It is an arithmetic number, because the mean of its divisors is an integer number (67758314713705).

Almost surely, 2^{135516629427409} is an apocalyptic number.

It is an amenable number.

135516629427409 is a deficient number, since it is larger than the sum of its proper divisors (1).

135516629427409 is an equidigital number, since it uses as much as digits as its factorization.

135516629427409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97977600, while the sum is 64.

The spelling of 135516629427409 in words is "one hundred thirty-five trillion, five hundred sixteen billion, six hundred twenty-nine million, four hundred twenty-seven thousand, four hundred nine".