25104525201 has 36 divisors (see below), whose sum is σ = 42287924484. Its totient is φ = 14309568000.

The previous prime is 25104525179. The next prime is 25104525203. The reversal of 25104525201 is 10252540152.

25104525201 is a `hidden beast` number, since 2 + 5 + 1 + 0 + 452 + 5 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18289857600 + 6814667601 = 135240^2 + 82551^2 .

It is not a de Polignac number, because 25104525201 - 2⁵ = 25104525169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25104525203) 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 in 35 ways as a sum of consecutive naturals, for example, 105861 + ... + 247821.

It is an arithmetic number, because the mean of its divisors is an integer number (1174664569).

Almost surely, 2^25104525201 is an apocalyptic number.

25104525201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

25104525201 is a deficient number, since it is larger than the sum of its proper divisors (17183399283).

25104525201 is a wasteful number, since it uses less digits than its factorization.

25104525201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142382 (or 142372 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 25104525201 in words is "twenty-five billion, one hundred four million, five hundred twenty-five thousand, two hundred one".