125561045117 has 2 divisors, whose sum is σ = 125561045118. Its totient is φ = 125561045116.

The previous prime is 125561045089. The next prime is 125561045131. The reversal of 125561045117 is 711540165521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85678558681 + 39882486436 = 292709^2 + 199706^2 .

It is an emirp because it is prime and its reverse (711540165521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125561045117 - 2¹⁰ = 125561044093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125561045147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62780522558 + 62780522559.

It is an arithmetic number, because the mean of its divisors is an integer number (62780522559).

Almost surely, 2^125561045117 is an apocalyptic number.

It is an amenable number.

125561045117 is a deficient number, since it is larger than the sum of its proper divisors (1).

125561045117 is an equidigital number, since it uses as much as digits as its factorization.

125561045117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42000, while the sum is 38.

The spelling of 125561045117 in words is "one hundred twenty-five billion, five hundred sixty-one million, forty-five thousand, one hundred seventeen".