27131632505 has 16 divisors (see below), whose sum is σ = 33449836224. Its totient is φ = 21111140160.

The previous prime is 27131632441. The next prime is 27131632523. The reversal of 27131632505 is 50523613172.

It is not a de Polignac number, because 27131632505 - 2⁶ = 27131632441 is a prime.

It is a super-3 number, since 3×27131632505³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524954 + ... + 574316.

It is an arithmetic number, because the mean of its divisors is an integer number (2090614764).

Almost surely, 2^27131632505 is an apocalyptic number.

It is an amenable number.

27131632505 is a deficient number, since it is larger than the sum of its proper divisors (6318203719).

27131632505 is a wasteful number, since it uses less digits than its factorization.

27131632505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52376.

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 27131632505 in words is "twenty-seven billion, one hundred thirty-one million, six hundred thirty-two thousand, five hundred five".