2502527916289 has 2 divisors, whose sum is σ = 2502527916290. Its totient is φ = 2502527916288.

The previous prime is 2502527916263. The next prime is 2502527916299. The reversal of 2502527916289 is 9826197252052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2113141932225 + 389385984064 = 1453665^2 + 624008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2502527916289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2502527916299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1251263958144 + 1251263958145.

It is an arithmetic number, because the mean of its divisors is an integer number (1251263958145).

Almost surely, 2^{2502527916289} is an apocalyptic number.

It is an amenable number.

2502527916289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2502527916289 is an equidigital number, since it uses as much as digits as its factorization.

2502527916289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 2502527916289 in words is "two trillion, five hundred two billion, five hundred twenty-seven million, nine hundred sixteen thousand, two hundred eighty-nine".