81125697606301 has 2 divisors, whose sum is σ = 81125697606302. Its totient is φ = 81125697606300.

The previous prime is 81125697606259. The next prime is 81125697606337. The reversal of 81125697606301 is 10360679652118.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81113619816100 + 12077790201 = 9006310^2 + 109899^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-81125697606301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (81125697606361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40562848803150 + 40562848803151.

It is an arithmetic number, because the mean of its divisors is an integer number (40562848803151).

Almost surely, 2^{81125697606301} is an apocalyptic number.

It is an amenable number.

81125697606301 is a deficient number, since it is larger than the sum of its proper divisors (1).

81125697606301 is an equidigital number, since it uses as much as digits as its factorization.

81125697606301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 81125697606301 in words is "eighty-one trillion, one hundred twenty-five billion, six hundred ninety-seven million, six hundred six thousand, three hundred one".