36577765313101 has 2 divisors, whose sum is σ = 36577765313102. Its totient is φ = 36577765313100.

The previous prime is 36577765313009. The next prime is 36577765313161. The reversal of 36577765313101 is 10131356777563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36561311094025 + 16454219076 = 6046595^2 + 128274^2 .

It is a cyclic number.

It is not a de Polignac number, because 36577765313101 - 2⁷ = 36577765312973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36577765313161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18288882656550 + 18288882656551.

It is an arithmetic number, because the mean of its divisors is an integer number (18288882656551).

Almost surely, 2^{36577765313101} is an apocalyptic number.

It is an amenable number.

36577765313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

36577765313101 is an equidigital number, since it uses as much as digits as its factorization.

36577765313101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8334900, while the sum is 55.

The spelling of 36577765313101 in words is "thirty-six trillion, five hundred seventy-seven billion, seven hundred sixty-five million, three hundred thirteen thousand, one hundred one".