36576836578577 has 2 divisors, whose sum is σ = 36576836578578. Its totient is φ = 36576836578576.

The previous prime is 36576836578553. The next prime is 36576836578657. The reversal of 36576836578577 is 77587563867563.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29428357393681 + 7148479184896 = 5424791^2 + 2673664^2 .

It is a cyclic number.

It is not a de Polignac number, because 36576836578577 - 2²² = 36576832384273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36576836578495 and 36576836578504.

It is not a weakly prime, because it can be changed into another prime (36576836578537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18288418289288 + 18288418289289.

It is an arithmetic number, because the mean of its divisors is an integer number (18288418289289).

Almost surely, 2^{36576836578577} is an apocalyptic number.

It is an amenable number.

36576836578577 is a deficient number, since it is larger than the sum of its proper divisors (1).

36576836578577 is an equidigital number, since it uses as much as digits as its factorization.

36576836578577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37340352000, while the sum is 83.

The spelling of 36576836578577 in words is "thirty-six trillion, five hundred seventy-six billion, eight hundred thirty-six million, five hundred seventy-eight thousand, five hundred seventy-seven".