2508740667137 has 2 divisors, whose sum is σ = 2508740667138. Its totient is φ = 2508740667136.

The previous prime is 2508740667133. The next prime is 2508740667187. The reversal of 2508740667137 is 7317660478052.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2244815989441 + 263924677696 = 1498271^2 + 513736^2 .

It is a cyclic number.

It is not a de Polignac number, because 2508740667137 - 2² = 2508740667133 is a prime.

It is not a weakly prime, because it can be changed into another prime (2508740667133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254370333568 + 1254370333569.

It is an arithmetic number, because the mean of its divisors is an integer number (1254370333569).

Almost surely, 2^{2508740667137} is an apocalyptic number.

It is an amenable number.

2508740667137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2508740667137 is an equidigital number, since it uses as much as digits as its factorization.

2508740667137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 2508740667137 in words is "two trillion, five hundred eight billion, seven hundred forty million, six hundred sixty-seven thousand, one hundred thirty-seven".