27982500361 has 8 divisors (see below), whose sum is σ = 29799796104. Its totient is φ = 26184234240.

The previous prime is 27982500349. The next prime is 27982500391. The reversal of 27982500361 is 16300528972.

It can be written as a sum of positive squares in 4 ways, for example, as 12968654400 + 15013845961 = 113880^2 + 122531^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27982500361 - 2¹⁵ = 27982467593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27982500391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4754370 + ... + 4760251.

It is an arithmetic number, because the mean of its divisors is an integer number (3724974513).

Almost surely, 2^27982500361 is an apocalyptic number.

It is an amenable number.

27982500361 is a deficient number, since it is larger than the sum of its proper divisors (1817295743).

27982500361 is a wasteful number, since it uses less digits than its factorization.

27982500361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9514811.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 27982500361 in words is "twenty-seven billion, nine hundred eighty-two million, five hundred thousand, three hundred sixty-one".