2733626782961 has 2 divisors, whose sum is σ = 2733626782962. Its totient is φ = 2733626782960.

The previous prime is 2733626782949. The next prime is 2733626783011. The reversal of 2733626782961 is 1692876263372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2710303690000 + 23323092961 = 1646300^2 + 152719^2 .

It is a cyclic number.

It is not a de Polignac number, because 2733626782961 - 2³⁰ = 2732553041137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2733626782894 and 2733626782903.

It is not a weakly prime, because it can be changed into another prime (2733626782921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1366813391480 + 1366813391481.

It is an arithmetic number, because the mean of its divisors is an integer number (1366813391481).

Almost surely, 2^{2733626782961} is an apocalyptic number.

It is an amenable number.

2733626782961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2733626782961 is an equidigital number, since it uses as much as digits as its factorization.

2733626782961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54867456, while the sum is 62.

The spelling of 2733626782961 in words is "two trillion, seven hundred thirty-three billion, six hundred twenty-six million, seven hundred eighty-two thousand, nine hundred sixty-one".