27542504241 has 24 divisors (see below), whose sum is σ = 45471888384. Its totient is φ = 15736878720.

The previous prime is 27542504237. The next prime is 27542504273. The reversal of 27542504241 is 14240524572.

27542504241 is a `hidden beast` number, since 2 + 75 + 42 + 504 + 2 + 41 = 666.

It is not a de Polignac number, because 27542504241 - 2² = 27542504237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27542504196 and 27542504205.

It is not an unprimeable number, because it can be changed into a prime (27542504201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784240 + ... + 818606.

It is an arithmetic number, because the mean of its divisors is an integer number (1894662016).

Almost surely, 2^27542504241 is an apocalyptic number.

27542504241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27542504241 is a deficient number, since it is larger than the sum of its proper divisors (17929384143).

27542504241 is a wasteful number, since it uses less digits than its factorization.

27542504241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47101 (or 47098 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 27542504241 in words is "twenty-seven billion, five hundred forty-two million, five hundred four thousand, two hundred forty-one".