2606525412137 has 2 divisors, whose sum is σ = 2606525412138. Its totient is φ = 2606525412136.

The previous prime is 2606525412089. The next prime is 2606525412163. The reversal of 2606525412137 is 7312145256062.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2585098014976 + 21427397161 = 1607824^2 + 146381^2 .

It is a cyclic number.

It is not a de Polignac number, because 2606525412137 - 2⁸ = 2606525411881 is a prime.

It is not a weakly prime, because it can be changed into another prime (2606525112137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1303262706068 + 1303262706069.

It is an arithmetic number, because the mean of its divisors is an integer number (1303262706069).

Almost surely, 2^{2606525412137} is an apocalyptic number.

It is an amenable number.

2606525412137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2606525412137 is an equidigital number, since it uses as much as digits as its factorization.

2606525412137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 2606525412137 in words is "two trillion, six hundred six billion, five hundred twenty-five million, four hundred twelve thousand, one hundred thirty-seven".