36577765312973 has 2 divisors, whose sum is σ = 36577765312974. Its totient is φ = 36577765312972.

The previous prime is 36577765312961. The next prime is 36577765312981. The reversal of 36577765312973 is 37921356777563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31642627531684 + 4935137781289 = 5625178^2 + 2221517^2 .

It is a cyclic number.

It is not a de Polignac number, because 36577765312973 - 2²² = 36577761118669 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36577765312897 and 36577765312906.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36577765312903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18288882656486 + 18288882656487.

It is an arithmetic number, because the mean of its divisors is an integer number (18288882656487).

Almost surely, 2^{36577765312973} is an apocalyptic number.

It is an amenable number.

36577765312973 is a deficient number, since it is larger than the sum of its proper divisors (1).

36577765312973 is an equidigital number, since it uses as much as digits as its factorization.

36577765312973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1050197400, while the sum is 71.

The spelling of 36577765312973 in words is "thirty-six trillion, five hundred seventy-seven billion, seven hundred sixty-five million, three hundred twelve thousand, nine hundred seventy-three".