25505035729 has 2 divisors, whose sum is σ = 25505035730. Its totient is φ = 25505035728.

The previous prime is 25505035711. The next prime is 25505035747. The reversal of 25505035729 is 92753050552.

It is a balanced prime because it is at equal distance from previous prime (25505035711) and next prime (25505035747).

It can be written as a sum of positive squares in only one way, i.e., 21564335104 + 3940700625 = 146848^2 + 62775^2 .

It is a cyclic number.

It is not a de Polignac number, because 25505035729 - 2³¹ = 23357552081 is a prime.

It is a super-2 number, since 2×25505035729² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (25505035709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12752517864 + 12752517865.

It is an arithmetic number, because the mean of its divisors is an integer number (12752517865).

Almost surely, 2^25505035729 is an apocalyptic number.

It is an amenable number.

25505035729 is a deficient number, since it is larger than the sum of its proper divisors (1).

25505035729 is an equidigital number, since it uses as much as digits as its factorization.

25505035729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 472500, while the sum is 43.

It can be divided in two parts, 25 and 505035729, that multiplied together give a square (12625893225 = 112365²).

The spelling of 25505035729 in words is "twenty-five billion, five hundred five million, thirty-five thousand, seven hundred twenty-nine".