25505263234261 has 2 divisors, whose sum is σ = 25505263234262. Its totient is φ = 25505263234260.

The previous prime is 25505263234237. The next prime is 25505263234271. The reversal of 25505263234261 is 16243236250552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15444852840036 + 10060410394225 = 3929994^2 + 3171815^2 .

It is a cyclic number.

It is not a de Polignac number, because 25505263234261 - 2¹⁵ = 25505263201493 is a prime.

It is a super-2 number, since 2×25505263234261² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25505263234201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12752631617130 + 12752631617131.

It is an arithmetic number, because the mean of its divisors is an integer number (12752631617131).

Almost surely, 2^{25505263234261} is an apocalyptic number.

It is an amenable number.

25505263234261 is a deficient number, since it is larger than the sum of its proper divisors (1).

25505263234261 is an equidigital number, since it uses as much as digits as its factorization.

25505263234261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 25505263234261 in words is "twenty-five trillion, five hundred five billion, two hundred sixty-three million, two hundred thirty-four thousand, two hundred sixty-one".