6725137106309 has 2 divisors, whose sum is σ = 6725137106310. Its totient is φ = 6725137106308.

The previous prime is 6725137106291. The next prime is 6725137106323. The reversal of 6725137106309 is 9036017315276.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6408340360900 + 316796745409 = 2531470^2 + 562847^2 .

It is a cyclic number.

It is not a de Polignac number, because 6725137106309 - 2⁸ = 6725137106053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6725137103309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3362568553154 + 3362568553155.

It is an arithmetic number, because the mean of its divisors is an integer number (3362568553155).

Almost surely, 2^{6725137106309} is an apocalyptic number.

It is an amenable number.

6725137106309 is a deficient number, since it is larger than the sum of its proper divisors (1).

6725137106309 is an equidigital number, since it uses as much as digits as its factorization.

6725137106309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1428840, while the sum is 50.

The spelling of 6725137106309 in words is "six trillion, seven hundred twenty-five billion, one hundred thirty-seven million, one hundred six thousand, three hundred nine".