2649417952673 has 2 divisors, whose sum is σ = 2649417952674. Its totient is φ = 2649417952672.

The previous prime is 2649417952561. The next prime is 2649417952693. The reversal of 2649417952673 is 3762597149462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2636911556449 + 12506396224 = 1623857^2 + 111832^2 .

It is a cyclic number.

It is not a de Polignac number, because 2649417952673 - 2³⁸ = 2374540045729 is a prime.

It is not a weakly prime, because it can be changed into another prime (2649417952693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1324708976336 + 1324708976337.

It is an arithmetic number, because the mean of its divisors is an integer number (1324708976337).

Almost surely, 2^{2649417952673} is an apocalyptic number.

It is an amenable number.

2649417952673 is a deficient number, since it is larger than the sum of its proper divisors (1).

2649417952673 is an equidigital number, since it uses as much as digits as its factorization.

2649417952673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 137168640, while the sum is 65.

The spelling of 2649417952673 in words is "two trillion, six hundred forty-nine billion, four hundred seventeen million, nine hundred fifty-two thousand, six hundred seventy-three".