2506505777773 has 2 divisors, whose sum is σ = 2506505777774. Its totient is φ = 2506505777772.

The previous prime is 2506505777767. The next prime is 2506505777803. The reversal of 2506505777773 is 3777775056052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1312245854089 + 1194259923684 = 1145533^2 + 1092822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2506505777773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2506505778773) 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, 1253252888886 + 1253252888887.

It is an arithmetic number, because the mean of its divisors is an integer number (1253252888887).

Almost surely, 2^{2506505777773} is an apocalyptic number.

It is an amenable number.

2506505777773 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506505777773 is an equidigital number, since it uses as much as digits as its factorization.

2506505777773 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75631500, while the sum is 61.

The spelling of 2506505777773 in words is "two trillion, five hundred six billion, five hundred five million, seven hundred seventy-seven thousand, seven hundred seventy-three".