13123521625289 has 2 divisors, whose sum is σ = 13123521625290. Its totient is φ = 13123521625288.

The previous prime is 13123521625271. The next prime is 13123521625307. The reversal of 13123521625289 is 98252612532131.

It is a balanced prime because it is at equal distance from previous prime (13123521625271) and next prime (13123521625307).

It can be written as a sum of positive squares in only one way, i.e., 10317695621689 + 2805826003600 = 3212117^2 + 1675060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13123521625289 is a prime.

It is a super-2 number, since 2×13123521625289² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13123521625229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561760812644 + 6561760812645.

It is an arithmetic number, because the mean of its divisors is an integer number (6561760812645).

Almost surely, 2^{13123521625289} is an apocalyptic number.

It is an amenable number.

13123521625289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123521625289 is an equidigital number, since it uses as much as digits as its factorization.

13123521625289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1555200, while the sum is 50.

The spelling of 13123521625289 in words is "thirteen trillion, one hundred twenty-three billion, five hundred twenty-one million, six hundred twenty-five thousand, two hundred eighty-nine".