2502967761649 has 2 divisors, whose sum is σ = 2502967761650. Its totient is φ = 2502967761648.

The previous prime is 2502967761571. The next prime is 2502967761713. The reversal of 2502967761649 is 9461677692052.

It is an a-pointer prime, because the next prime (2502967761713) can be obtained adding 2502967761649 to its sum of digits (64).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1965062865249 + 537904896400 = 1401807^2 + 733420^2 .

It is a cyclic number.

It is not a de Polignac number, because 2502967761649 - 2⁷ = 2502967761521 is a prime.

It is not a weakly prime, because it can be changed into another prime (2502967861649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1251483880824 + 1251483880825.

It is an arithmetic number, because the mean of its divisors is an integer number (1251483880825).

Almost surely, 2^{2502967761649} is an apocalyptic number.

It is an amenable number.

2502967761649 is a deficient number, since it is larger than the sum of its proper divisors (1).

2502967761649 is an equidigital number, since it uses as much as digits as its factorization.

2502967761649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 2502967761649 in words is "two trillion, five hundred two billion, nine hundred sixty-seven million, seven hundred sixty-one thousand, six hundred forty-nine".