25829745201 has 72 divisors (see below), whose sum is σ = 42231341880. Its totient is φ = 15186382848.

The previous prime is 25829745181. The next prime is 25829745229. The reversal of 25829745201 is 10254792852.

25829745201 is a `hidden beast` number, since 2 + 58 + 2 + 9 + 74 + 520 + 1 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17329089600 + 8500655601 = 131640^2 + 92199^2 .

It is not a de Polignac number, because 25829745201 - 2¹³ = 25829737009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25829745281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4275555 + ... + 4281591.

It is an arithmetic number, because the mean of its divisors is an integer number (586546415).

Almost surely, 2^25829745201 is an apocalyptic number.

It is an amenable number.

25829745201 is a deficient number, since it is larger than the sum of its proper divisors (16401596679).

25829745201 is a wasteful number, since it uses less digits than its factorization.

25829745201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 25829745201 in words is "twenty-five billion, eight hundred twenty-nine million, seven hundred forty-five thousand, two hundred one".