25505048249 has 2 divisors, whose sum is σ = 25505048250. Its totient is φ = 25505048248.

The previous prime is 25505048207. The next prime is 25505048291. The reversal of 25505048249 is 94284050552.

It is a balanced prime because it is at equal distance from previous prime (25505048207) and next prime (25505048291).

It can be written as a sum of positive squares in only one way, i.e., 22498500025 + 3006548224 = 149995^2 + 54832^2 .

It is a cyclic number.

It is not a de Polignac number, because 25505048249 - 2¹² = 25505044153 is a prime.

It is not a weakly prime, because it can be changed into another prime (25505048299) 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, 12752524124 + 12752524125.

It is an arithmetic number, because the mean of its divisors is an integer number (12752524125).

Almost surely, 2^25505048249 is an apocalyptic number.

It is an amenable number.

25505048249 is a deficient number, since it is larger than the sum of its proper divisors (1).

25505048249 is an equidigital number, since it uses as much as digits as its factorization.

25505048249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 25505048249 in words is "twenty-five billion, five hundred five million, forty-eight thousand, two hundred forty-nine".