25105440457 has 2 divisors, whose sum is σ = 25105440458. Its totient is φ = 25105440456.

The previous prime is 25105440397. The next prime is 25105440509. The reversal of 25105440457 is 75404450152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23230637056 + 1874803401 = 152416^2 + 43299^2 .

It is a cyclic number.

It is not a de Polignac number, because 25105440457 - 2¹⁵ = 25105407689 is a prime.

It is a super-3 number, since 3×25105440457³ (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (25105410457) 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, 12552720228 + 12552720229.

It is an arithmetic number, because the mean of its divisors is an integer number (12552720229).

Almost surely, 2^25105440457 is an apocalyptic number.

It is an amenable number.

25105440457 is a deficient number, since it is larger than the sum of its proper divisors (1).

25105440457 is an equidigital number, since it uses as much as digits as its factorization.

25105440457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112000, while the sum is 37.

The spelling of 25105440457 in words is "twenty-five billion, one hundred five million, four hundred forty thousand, four hundred fifty-seven".