25952081200101 has 48 divisors (see below), whose sum is σ = 42916546865920. Its totient is φ = 14803797945600.

The previous prime is 25952081200093. The next prime is 25952081200139. The reversal of 25952081200101 is 10100218025952.

25952081200101 is a `hidden beast` number, since 2 + 5 + 9 + 520 + 8 + 1 + 20 + 0 + 101 = 666.

It is not a de Polignac number, because 25952081200101 - 2³ = 25952081200093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25952081200301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589088391 + ... + 589132443.

Almost surely, 2^{25952081200101} is an apocalyptic number.

25952081200101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

25952081200101 is a deficient number, since it is larger than the sum of its proper divisors (16964465665819).

25952081200101 is a wasteful number, since it uses less digits than its factorization.

25952081200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60226 (or 60223 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 25952081200101 in words is "twenty-five trillion, nine hundred fifty-two billion, eighty-one million, two hundred thousand, one hundred one".