138553521807361 has 2 divisors, whose sum is σ = 138553521807362. Its totient is φ = 138553521807360.

The previous prime is 138553521807319. The next prime is 138553521807401. The reversal of 138553521807361 is 163708125355831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86763636090000 + 51789885717361 = 9314700^2 + 7196519^2 .

It is a cyclic number.

It is not a de Polignac number, because 138553521807361 - 2⁹ = 138553521806849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138553521807296 and 138553521807305.

It is not a weakly prime, because it can be changed into another prime (138553521807061) 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, 69276760903680 + 69276760903681.

It is an arithmetic number, because the mean of its divisors is an integer number (69276760903681).

Almost surely, 2^{138553521807361} is an apocalyptic number.

It is an amenable number.

138553521807361 is a deficient number, since it is larger than the sum of its proper divisors (1).

138553521807361 is an equidigital number, since it uses as much as digits as its factorization.

138553521807361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144000, while the sum is 58.

The spelling of 138553521807361 in words is "one hundred thirty-eight trillion, five hundred fifty-three billion, five hundred twenty-one million, eight hundred seven thousand, three hundred sixty-one".