36577761405121 has 2 divisors, whose sum is σ = 36577761405122. Its totient is φ = 36577761405120.

The previous prime is 36577761405007. The next prime is 36577761405137. The reversal of 36577761405121 is 12150416777563.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28509576798096 + 8068184607025 = 5339436^2 + 2840455^2 .

It is a cyclic number.

It is not a de Polignac number, because 36577761405121 - 2⁹ = 36577761404609 is a prime.

It is not a weakly prime, because it can be changed into another prime (36577761405191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18288880702560 + 18288880702561.

It is an arithmetic number, because the mean of its divisors is an integer number (18288880702561).

Almost surely, 2^{36577761405121} is an apocalyptic number.

It is an amenable number.

36577761405121 is a deficient number, since it is larger than the sum of its proper divisors (1).

36577761405121 is an equidigital number, since it uses as much as digits as its factorization.

36577761405121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7408800, while the sum is 55.

The spelling of 36577761405121 in words is "thirty-six trillion, five hundred seventy-seven billion, seven hundred sixty-one million, four hundred five thousand, one hundred twenty-one".