25538751414217 has 2 divisors, whose sum is σ = 25538751414218. Its totient is φ = 25538751414216.

The previous prime is 25538751414107. The next prime is 25538751414331. The reversal of 25538751414217 is 71241415783552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15273878728761 + 10264872685456 = 3908181^2 + 3203884^2 .

It is a cyclic number.

It is not a de Polignac number, because 25538751414217 - 2³¹ = 25536603930569 is a prime.

It is not a weakly prime, because it can be changed into another prime (25538751412217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12769375707108 + 12769375707109.

It is an arithmetic number, because the mean of its divisors is an integer number (12769375707109).

Almost surely, 2^{25538751414217} is an apocalyptic number.

It is an amenable number.

25538751414217 is a deficient number, since it is larger than the sum of its proper divisors (1).

25538751414217 is an equidigital number, since it uses as much as digits as its factorization.

25538751414217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9408000, while the sum is 55.

The spelling of 25538751414217 in words is "twenty-five trillion, five hundred thirty-eight billion, seven hundred fifty-one million, four hundred fourteen thousand, two hundred seventeen".