2036753884961 has 2 divisors, whose sum is σ = 2036753884962. Its totient is φ = 2036753884960.

The previous prime is 2036753884903. The next prime is 2036753884973. The reversal of 2036753884961 is 1694883576302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1672715422225 + 364038462736 = 1293335^2 + 603356^2 .

It is a cyclic number.

It is not a de Polignac number, because 2036753884961 - 2¹⁸ = 2036753622817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2036753884894 and 2036753884903.

It is not a weakly prime, because it can be changed into another prime (2036753883961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1018376942480 + 1018376942481.

It is an arithmetic number, because the mean of its divisors is an integer number (1018376942481).

It is a 1-persistent number, because it is pandigital, but 2⋅2036753884961 = 4073507769922 is not.

Almost surely, 2^{2036753884961} is an apocalyptic number.

It is an amenable number.

2036753884961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2036753884961 is an equidigital number, since it uses as much as digits as its factorization.

2036753884961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52254720, while the sum is 62.

The spelling of 2036753884961 in words is "two trillion, thirty-six billion, seven hundred fifty-three million, eight hundred eighty-four thousand, nine hundred sixty-one".