2508588729349 has 2 divisors, whose sum is σ = 2508588729350. Its totient is φ = 2508588729348.

The previous prime is 2508588729331. The next prime is 2508588729359. The reversal of 2508588729349 is 9439278858052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2407555656900 + 101033072449 = 1551630^2 + 317857^2 .

It is a cyclic number.

It is not a de Polignac number, because 2508588729349 - 2¹⁹ = 2508588205061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2508588729359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254294364674 + 1254294364675.

It is an arithmetic number, because the mean of its divisors is an integer number (1254294364675).

Almost surely, 2^{2508588729349} is an apocalyptic number.

It is an amenable number.

2508588729349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2508588729349 is an equidigital number, since it uses as much as digits as its factorization.

2508588729349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 348364800, while the sum is 70.

The spelling of 2508588729349 in words is "two trillion, five hundred eight billion, five hundred eighty-eight million, seven hundred twenty-nine thousand, three hundred forty-nine".