25300253047361 has 2 divisors, whose sum is σ = 25300253047362. Its totient is φ = 25300253047360.

The previous prime is 25300253047213. The next prime is 25300253047397. The reversal of 25300253047361 is 16374035200352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25078501528336 + 221751519025 = 5007844^2 + 470905^2 .

It is a cyclic number.

It is not a de Polignac number, because 25300253047361 - 2¹⁴ = 25300253030977 is a prime.

It is not a weakly prime, because it can be changed into another prime (25300253047061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12650126523680 + 12650126523681.

It is an arithmetic number, because the mean of its divisors is an integer number (12650126523681).

Almost surely, 2^{25300253047361} is an apocalyptic number.

It is an amenable number.

25300253047361 is a deficient number, since it is larger than the sum of its proper divisors (1).

25300253047361 is an equidigital number, since it uses as much as digits as its factorization.

25300253047361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 41.

The spelling of 25300253047361 in words is "twenty-five trillion, three hundred billion, two hundred fifty-three million, forty-seven thousand, three hundred sixty-one".